87633380010 has 384 divisors, whose sum is σ = 248899392000. Its totient is φ = 19692288000.

The previous prime is 87633379997. The next prime is 87633380041. The reversal of 87633380010 is 1008333678.

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, 580353435 + ... + 580353585.

It is an arithmetic number, because the mean of its divisors is an integer number (648175500).

Almost surely, 2^87633380010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87633380010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124449696000).

87633380010 is an abundant number, since it is smaller than the sum of its proper divisors (161266011990).

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

87633380010 is a wasteful number, since it uses less digits than its factorization.

87633380010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 87633380010 in words is "eighty-seven billion, six hundred thirty-three million, three hundred eighty thousand, ten".