87627571200 has 1344 divisors, whose sum is σ = 368593908480. Its totient is φ = 20242759680.

The previous prime is 87627571183. The next prime is 87627571211. The reversal of 87627571200 is 217572678.

87627571200 is a `hidden beast` number, since 8 + 7 + 627 + 5 + 7 + 12 + 0 + 0 = 666.

It is a super-2 number, since 2×87627571200² (a number of 23 digits) contains 22 as substring.

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

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, 1653350374 + ... + 1653350426.

It is an arithmetic number, because the mean of its divisors is an integer number (274251420).

Almost surely, 2^87627571200 is an apocalyptic number.

87627571200 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 87627571200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184296954240).

87627571200 is an abundant number, since it is smaller than the sum of its proper divisors (280966337280).

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

87627571200 is a wasteful number, since it uses less digits than its factorization.

87627571200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 87627571200 in words is "eighty-seven billion, six hundred twenty-seven million, five hundred seventy-one thousand, two hundred".