87719817024 has 560 divisors, whose sum is σ = 312135487488. Its totient is φ = 23815959552.

The previous prime is 87719817019. The next prime is 87719817037. The reversal of 87719817024 is 42071891778.

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, 189459417 + ... + 189459879.

Almost surely, 2^87719817024 is an apocalyptic number.

87719817024 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 87719817024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156067743744).

87719817024 is an abundant number, since it is smaller than the sum of its proper divisors (224415670464).

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

87719817024 is a wasteful number, since it uses less digits than its factorization.

87719817024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 54.

The spelling of 87719817024 in words is "eighty-seven billion, seven hundred nineteen million, eight hundred seventeen thousand, twenty-four".