87196668000 has 384 divisors, whose sum is σ = 315156127104. Its totient is φ = 20938752000.

The previous prime is 87196667983. The next prime is 87196668019. The reversal of 87196668000 is 86669178.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6389184 + ... + 6402816.

It is an arithmetic number, because the mean of its divisors is an integer number (820719081).

Almost surely, 2^87196668000 is an apocalyptic number.

87196668000 is a gapful number since it is divisible by the number (80) 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 87196668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157578063552).

87196668000 is an abundant number, since it is smaller than the sum of its proper divisors (227959459104).

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

87196668000 is a wasteful number, since it uses less digits than its factorization.

87196668000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13715 (or 13697 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 87196668000 in words is "eighty-seven billion, one hundred ninety-six million, six hundred sixty-eight thousand".