87458633920 has 280 divisors, whose sum is σ = 245878502400. Its totient is φ = 29625716736.

The previous prime is 87458633909. The next prime is 87458633921. The reversal of 87458633920 is 2933685478.

It is a tau number, because it is divible by the number of its divisors (280).

It is not an unprimeable number, because it can be changed into a prime (87458633921) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 68379841 + ... + 68381119.

Almost surely, 2^87458633920 is an apocalyptic number.

87458633920 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 87458633920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122939251200).

87458633920 is an abundant number, since it is smaller than the sum of its proper divisors (158419868480).

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

87458633920 is an equidigital number, since it uses as much as digits as its factorization.

87458633920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 55.

The spelling of 87458633920 in words is "eighty-seven billion, four hundred fifty-eight million, six hundred thirty-three thousand, nine hundred twenty".