87719335919600 has 240 divisors, whose sum is σ = 262758118237440. Its totient is φ = 27340027545600.

The previous prime is 87719335919573. The next prime is 87719335919627. The reversal of 87719335919600 is 691953391778.

It is an interprime number because it is at equal distance from previous prime (87719335919573) and next prime (87719335919627).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1246102004 + ... + 1246172396.

It is an arithmetic number, because the mean of its divisors is an integer number (1094825492656).

Almost surely, 2^{87719335919600} is an apocalyptic number.

87719335919600 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 87719335919600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131379059118720).

87719335919600 is an abundant number, since it is smaller than the sum of its proper divisors (175038782317840).

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

87719335919600 is a wasteful number, since it uses less digits than its factorization.

87719335919600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110888 (or 110877 counting only the distinct ones).

The product of its (nonzero) digits is 77157360, while the sum is 68.

The spelling of 87719335919600 in words is "eighty-seven trillion, seven hundred nineteen billion, three hundred thirty-five million, nine hundred nineteen thousand, six hundred".