87098592000 has 1152 divisors, whose sum is σ = 353617625088. Its totient is φ = 18579456000.

The previous prime is 87098591947. The next prime is 87098592001. The reversal of 87098592000 is 29589078.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (87098592001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 770783944 + ... + 770784056.

It is an arithmetic number, because the mean of its divisors is an integer number (306959744).

Almost surely, 2^87098592000 is an apocalyptic number.

87098592000 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 87098592000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176808812544).

87098592000 is an abundant number, since it is smaller than the sum of its proper divisors (266519033088).

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

87098592000 is a wasteful number, since it uses less digits than its factorization.

87098592000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 87098592000 in words is "eighty-seven billion, ninety-eight million, five hundred ninety-two thousand".