972518587920 has 1600 divisors, whose sum is σ = 4064043456000. Its totient is φ = 212840939520.

The previous prime is 972518587891. The next prime is 972518587933. The reversal of 972518587920 is 29785815279.

972518587920 is a `hidden beast` number, since 9 + 7 + 25 + 1 + 8 + 587 + 9 + 20 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4887027981 + ... + 4887028179.

It is an arithmetic number, because the mean of its divisors is an integer number (2540027160).

Almost surely, 2^972518587920 is an apocalyptic number.

972518587920 is a gapful number since it is divisible by the number (90) 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 972518587920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032021728000).

972518587920 is an abundant number, since it is smaller than the sum of its proper divisors (3091524868080).

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

972518587920 is a wasteful number, since it uses less digits than its factorization.

972518587920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 63.

The spelling of 972518587920 in words is "nine hundred seventy-two billion, five hundred eighteen million, five hundred eighty-seven thousand, nine hundred twenty".