87907445010 has 432 divisors, whose sum is σ = 294447980736. Its totient is φ = 18128880000.

The previous prime is 87907444993. The next prime is 87907445053. The reversal of 87907445010 is 1054470978.

It is a happy number.

87907445010 is a `hidden beast` number, since 8 + 79 + 0 + 74 + 4 + 501 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 80574565 + ... + 80575655.

It is an arithmetic number, because the mean of its divisors is an integer number (681592548).

Almost surely, 2^87907445010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87907445010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147223990368).

87907445010 is an abundant number, since it is smaller than the sum of its proper divisors (206540535726).

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

87907445010 is a wasteful number, since it uses less digits than its factorization.

87907445010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 87907445010 in words is "eighty-seven billion, nine hundred seven million, four hundred forty-five thousand, ten".