10001953735920 has 960 divisors, whose sum is σ = 39772189416960. Its totient is φ = 2320109568000.

The previous prime is 10001953735909. The next prime is 10001953735973. The reversal of 10001953735920 is 2953735910001.

10001953735920 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 1 + 9 + 53 + 7 + 3 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 257424495 + ... + 257463345.

It is an arithmetic number, because the mean of its divisors is an integer number (41429363976).

Almost surely, 2^{10001953735920} is an apocalyptic number.

10001953735920 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 10001953735920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19886094708480).

10001953735920 is an abundant number, since it is smaller than the sum of its proper divisors (29770235681040).

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

10001953735920 is a wasteful number, since it uses less digits than its factorization.

10001953735920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38956 (or 38938 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The spelling of 10001953735920 in words is "ten trillion, one billion, nine hundred fifty-three million, seven hundred thirty-five thousand, nine hundred twenty".