87372380160 has 1152 divisors, whose sum is σ = 352086920640. Its totient is φ = 20639121408.

The previous prime is 87372380159. The next prime is 87372380191. The reversal of 87372380160 is 6108327378.

87372380160 is a `hidden beast` number, since 87 + 37 + 2 + 380 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1196881884 + ... + 1196881956.

Almost surely, 2^87372380160 is an apocalyptic number.

87372380160 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 87372380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176043460320).

87372380160 is an abundant number, since it is smaller than the sum of its proper divisors (264714540480).

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

87372380160 is a wasteful number, since it uses less digits than its factorization.

87372380160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 87372380160 in words is "eighty-seven billion, three hundred seventy-two million, three hundred eighty thousand, one hundred sixty".