7853745070080 has 4032 divisors, whose sum is σ = 37715479925760. Its totient is φ = 1530352631808.

The previous prime is 7853745070063. The next prime is 7853745070097. The reversal of 7853745070080 is 800705473587.

7853745070080 is a `hidden beast` number, since 7 + 8 + 53 + 7 + 4 + 507 + 0 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (7853745070063) and next prime (7853745070097).

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×7853745070080² (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 = 7853745069999 and 7853745070026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 270818795506 + ... + 270818795534.

It is an arithmetic number, because the mean of its divisors is an integer number (9354037680).

Almost surely, 2^{7853745070080} is an apocalyptic number.

7853745070080 is a gapful number since it is divisible by the number (70) 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 7853745070080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18857739962880).

7853745070080 is an abundant number, since it is smaller than the sum of its proper divisors (29861734855680).

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

7853745070080 is a wasteful number, since it uses less digits than its factorization.

7853745070080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 7853745070080 in words is "seven trillion, eight hundred fifty-three billion, seven hundred forty-five million, seventy thousand, eighty".