10000987373520 has 2880 divisors, whose sum is σ = 43390182850560. Its totient is φ = 2119451443200.

The previous prime is 10000987373513. The next prime is 10000987373561. The reversal of 10000987373520 is 2537378900001.

It is a happy number.

10000987373520 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 0 + 98 + 7 + 37 + 3 + 520 = 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 575 ways as a sum of consecutive naturals, for example, 88504312984 + ... + 88504313096.

It is an arithmetic number, because the mean of its divisors is an integer number (15066035712).

Almost surely, 2^{10000987373520} is an apocalyptic number.

10000987373520 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 10000987373520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21695091425280).

10000987373520 is an abundant number, since it is smaller than the sum of its proper divisors (33389195477040).

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

10000987373520 is a wasteful number, since it uses less digits than its factorization.

10000987373520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 10000987373520 in words is "ten trillion, nine hundred eighty-seven million, three hundred seventy-three thousand, five hundred twenty".