87231997440 has 800 divisors, whose sum is σ = 375983435520. Its totient is φ = 18883362816.

The previous prime is 87231997423. The next prime is 87231997451. The reversal of 87231997440 is 4479913278.

87231997440 is a `hidden beast` number, since 8 + 7 + 2 + 3 + 199 + 7 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27577299 + ... + 27580461.

Almost surely, 2^87231997440 is an apocalyptic number.

87231997440 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 87231997440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187991717760).

87231997440 is an abundant number, since it is smaller than the sum of its proper divisors (288751438080).

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

87231997440 is a wasteful number, since it uses less digits than its factorization.

87231997440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3224 (or 3199 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 87231997440 in words is "eighty-seven billion, two hundred thirty-one million, nine hundred ninety-seven thousand, four hundred forty".