87241190400 has 2112 divisors, whose sum is σ = 420745292800. Its totient is φ = 17199267840.

The previous prime is 87241190371. The next prime is 87241190423. The reversal of 87241190400 is 409114278.

87241190400 is a `hidden beast` number, since 8 + 7 + 241 + 1 + 9 + 0 + 400 = 666.

It is a super-2 number, since 2×87241190400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1195084764 + ... + 1195084836.

Almost surely, 2^87241190400 is an apocalyptic number.

87241190400 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 87241190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210372646400).

87241190400 is an abundant number, since it is smaller than the sum of its proper divisors (333504102400).

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

87241190400 is a wasteful number, since it uses less digits than its factorization.

87241190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 87241190400 in words is "eighty-seven billion, two hundred forty-one million, one hundred ninety thousand, four hundred".