10153715899680 has 480 divisors, whose sum is σ = 35980171653888. Its totient is φ = 2696650444800.

The previous prime is 10153715899673. The next prime is 10153715899697. The reversal of 10153715899680 is 8699851735101.

10153715899680 is a `hidden beast` number, since 1 + 0 + 1 + 537 + 1 + 5 + 8 + 9 + 96 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3801464745 + ... + 3801467415.

Almost surely, 2^{10153715899680} is an apocalyptic number.

10153715899680 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 10153715899680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17990085826944).

10153715899680 is an abundant number, since it is smaller than the sum of its proper divisors (25826455754208).

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

10153715899680 is a wasteful number, since it uses less digits than its factorization.

10153715899680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3782 (or 3765 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 63.

The spelling of 10153715899680 in words is "ten trillion, one hundred fifty-three billion, seven hundred fifteen million, eight hundred ninety-nine thousand, six hundred eighty".