87372574560 has 216 divisors, whose sum is σ = 309614550336. Its totient is φ = 23299073280.

The previous prime is 87372574483. The next prime is 87372574567. The reversal of 87372574560 is 6547527378.

It is a happy number.

87372574560 is a `hidden beast` number, since 8 + 7 + 3 + 7 + 2 + 5 + 74 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 87372574497 and 87372574506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87372574567) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1008145 + ... + 1091375.

It is an arithmetic number, because the mean of its divisors is an integer number (1433400696).

Almost surely, 2^87372574560 is an apocalyptic number.

87372574560 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 87372574560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154807275168).

87372574560 is an abundant number, since it is smaller than the sum of its proper divisors (222241975776).

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

87372574560 is an frugal number, since it uses more digits than its factorization.

87372574560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83270 (or 83241 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 87372574560 in words is "eighty-seven billion, three hundred seventy-two million, five hundred seventy-four thousand, five hundred sixty".