87931799424 has 512 divisors, whose sum is σ = 306203673600. Its totient is φ = 24320507904.

The previous prime is 87931799419. The next prime is 87931799441. The reversal of 87931799424 is 42499713978.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142514764 + ... + 142515380.

It is an arithmetic number, because the mean of its divisors is an integer number (598054050).

Almost surely, 2^87931799424 is an apocalyptic number.

87931799424 is a gapful number since it is divisible by the number (84) 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 87931799424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153101836800).

87931799424 is an abundant number, since it is smaller than the sum of its proper divisors (218271874176).

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

87931799424 is a wasteful number, since it uses less digits than its factorization.

87931799424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 809 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The spelling of 87931799424 in words is "eighty-seven billion, nine hundred thirty-one million, seven hundred ninety-nine thousand, four hundred twenty-four".