10020959815680 has 1152 divisors, whose sum is σ = 39466504022400. Its totient is φ = 2418514329600.

The previous prime is 10020959815619. The next prime is 10020959815693. The reversal of 10020959815680 is 8651895902001.

10020959815680 is a `hidden beast` number, since 1 + 0 + 0 + 20 + 9 + 59 + 8 + 1 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7362938200 + ... + 7362939560.

It is an arithmetic number, because the mean of its divisors is an integer number (34259118075).

Almost surely, 2^{10020959815680} is an apocalyptic number.

10020959815680 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 10020959815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19733252011200).

10020959815680 is an abundant number, since it is smaller than the sum of its proper divisors (29445544206720).

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

10020959815680 is a wasteful number, since it uses less digits than its factorization.

10020959815680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 54.

The spelling of 10020959815680 in words is "ten trillion, twenty billion, nine hundred fifty-nine million, eight hundred fifteen thousand, six hundred eighty".