87559348800 has 672 divisors, whose sum is σ = 360003815424. Its totient is φ = 18100224000.

The previous prime is 87559348783. The next prime is 87559348817. The reversal of 87559348800 is 884395578.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (87559348783) and next prime (87559348817).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×87559348800² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89073109 + ... + 89074091.

Almost surely, 2^87559348800 is an apocalyptic number.

87559348800 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 87559348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180001907712).

87559348800 is an abundant number, since it is smaller than the sum of its proper divisors (272444466624).

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

87559348800 is a wasteful number, since it uses less digits than its factorization.

87559348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 57.

The spelling of 87559348800 in words is "eighty-seven billion, five hundred fifty-nine million, three hundred forty-eight thousand, eight hundred".