8119204853760 has 4320 divisors, whose sum is σ = 40388249341440. Its totient is φ = 1545067560960.

The previous prime is 8119204853737. The next prime is 8119204853897. The reversal of 8119204853760 is 673584029118.

8119204853760 is a `hidden beast` number, since 8 + 1 + 1 + 9 + 2 + 0 + 48 + 537 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-2 number, since 2×8119204853760² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8119204853697 and 8119204853706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 63930746817 + ... + 63930746943.

It is an arithmetic number, because the mean of its divisors is an integer number (9349131792).

It is a 2-persistent number, because it is pandigital, and so is 2⋅8119204853760 = 16238409707520, but 3⋅8119204853760 = 24357614561280 is not.

Almost surely, 2^{8119204853760} is an apocalyptic number.

8119204853760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8119204853760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20194124670720).

8119204853760 is an abundant number, since it is smaller than the sum of its proper divisors (32269044487680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8119204853760 is a wasteful number, since it uses less digits than its factorization.

8119204853760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 8119204853760 in words is "eight trillion, one hundred nineteen billion, two hundred four million, eight hundred fifty-three thousand, seven hundred sixty".