87360807744 has 224 divisors, whose sum is σ = 301448175360. Its totient is φ = 24285505536.

The previous prime is 87360807733. The next prime is 87360807757. The reversal of 87360807744 is 44770806378.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 349954 + ... + 545150.

Almost surely, 2^87360807744 is an apocalyptic number.

87360807744 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 87360807744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150724087680).

87360807744 is an abundant number, since it is smaller than the sum of its proper divisors (214087367616).

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

87360807744 is a wasteful number, since it uses less digits than its factorization.

87360807744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195262 (or 195246 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 87360807744 in words is "eighty-seven billion, three hundred sixty million, eight hundred seven thousand, seven hundred forty-four".