87366048000 has 1152 divisors, whose sum is σ = 370269978624. Its totient is φ = 17731584000.

The previous prime is 87366047999. The next prime is 87366048013. The reversal of 87366048000 is 84066378.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 391775889 + ... + 391776111.

It is an arithmetic number, because the mean of its divisors is an integer number (321414912).

Almost surely, 2^87366048000 is an apocalyptic number.

87366048000 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 87366048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185134989312).

87366048000 is an abundant number, since it is smaller than the sum of its proper divisors (282903930624).

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

87366048000 is a wasteful number, since it uses less digits than its factorization.

87366048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 87366048000 in words is "eighty-seven billion, three hundred sixty-six million, forty-eight thousand".