87417792000 has 1920 divisors, whose sum is σ = 412671587328. Its totient is φ = 17915904000.

The previous prime is 87417791971. The next prime is 87417792023. The reversal of 87417792000 is 29771478.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

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, 1197503964 + ... + 1197504036.

Almost surely, 2^87417792000 is an apocalyptic number.

87417792000 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 87417792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206335793664).

87417792000 is an abundant number, since it is smaller than the sum of its proper divisors (325253795328).

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

87417792000 is an equidigital number, since it uses as much as digits as its factorization.

87417792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 87417792000 in words is "eighty-seven billion, four hundred seventeen million, seven hundred ninety-two thousand".