87654336000 has 1280 divisors, whose sum is σ = 373818931200. Its totient is φ = 18213888000.

The previous prime is 87654335999. The next prime is 87654336073. The reversal of 87654336000 is 63345678.

It is a tau number, because it is divible by the number of its divisors (1280).

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=3080.

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

It is a congruent number.

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, 7968575995 + ... + 7968576005.

It is an arithmetic number, because the mean of its divisors is an integer number (292046040).

Almost surely, 2^87654336000 is an apocalyptic number.

87654336000 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 87654336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186909465600).

87654336000 is an abundant number, since it is smaller than the sum of its proper divisors (286164595200).

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

87654336000 is an frugal number, since it uses more digits than its factorization.

87654336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 87654336000 in words is "eighty-seven billion, six hundred fifty-four million, three hundred thirty-six thousand".