10102819549680 has 3200 divisors, whose sum is σ = 45952858828800. Its totient is φ = 2019122380800.

The previous prime is 10102819549663. The next prime is 10102819549721. The reversal of 10102819549680 is 8694591820101.

10102819549680 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 2 + 8 + 19 + 549 + 6 + 80 = 666.

10102819549680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 23997195870 + ... + 23997196290.

It is an arithmetic number, because the mean of its divisors is an integer number (14360268384).

Almost surely, 2^{10102819549680} is an apocalyptic number.

10102819549680 is a gapful number since it is divisible by the number (10) 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 10102819549680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22976429414400).

10102819549680 is an abundant number, since it is smaller than the sum of its proper divisors (35850039279120).

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

10102819549680 is a wasteful number, since it uses less digits than its factorization.

10102819549680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 10102819549680 in words is "ten trillion, one hundred two billion, eight hundred nineteen million, five hundred forty-nine thousand, six hundred eighty".