87097734934650 has 288 divisors, whose sum is σ = 268748057148480. Its totient is φ = 20000556288000.

The previous prime is 87097734934601. The next prime is 87097734934667. The reversal of 87097734934650 is 5643943779078.

87097734934650 is a `hidden beast` number, since 8 + 7 + 0 + 9 + 7 + 73 + 4 + 93 + 465 + 0 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 727981234 + ... + 728100866.

It is an arithmetic number, because the mean of its divisors is an integer number (933152976210).

Almost surely, 2^{87097734934650} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87097734934650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134374028574240).

87097734934650 is an abundant number, since it is smaller than the sum of its proper divisors (181650322213830).

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

87097734934650 is a wasteful number, since it uses less digits than its factorization.

87097734934650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127422 (or 127414 counting only the distinct ones).

The product of its (nonzero) digits is 960180480, while the sum is 72.

The spelling of 87097734934650 in words is "eighty-seven trillion, ninety-seven billion, seven hundred thirty-four million, nine hundred thirty-four thousand, six hundred fifty".