8972651520 has 264 divisors, whose sum is σ = 35532710304. Its totient is φ = 2050818048.

The previous prime is 8972651489. The next prime is 8972651531. The reversal of 8972651520 is 251562798.

8972651520 is a `hidden beast` number, since 8 + 9 + 72 + 6 + 51 + 520 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 308652 + ... + 336468.

Almost surely, 2^8972651520 is an apocalyptic number.

8972651520 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 8972651520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17766355152).

8972651520 is an abundant number, since it is smaller than the sum of its proper divisors (26560058784).

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

8972651520 is a wasteful number, since it uses less digits than its factorization.

8972651520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27855 (or 27834 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 8972651520 is about 94724.0809931667. The cubic root of 8972651520 is about 2077.9747545460.

It can be divided in two parts, 89726 and 51520, that added together give a triangular number (141246 = T₅₃₁).

The spelling of 8972651520 in words is "eight billion, nine hundred seventy-two million, six hundred fifty-one thousand, five hundred twenty".