552969631872 has 768 divisors, whose sum is σ = 1973234390400. Its totient is φ = 151887052800.

The previous prime is 552969631853. The next prime is 552969631939. The reversal of 552969631872 is 278136969255.

552969631872 is a `hidden beast` number, since 5 + 529 + 6 + 9 + 6 + 31 + 8 + 72 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 506846047 + ... + 506847137.

Almost surely, 2^552969631872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 552969631872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986617195200).

552969631872 is an abundant number, since it is smaller than the sum of its proper divisors (1420264758528).

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

552969631872 is a wasteful number, since it uses less digits than its factorization.

552969631872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1217 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 63.

The spelling of 552969631872 in words is "five hundred fifty-two billion, nine hundred sixty-nine million, six hundred thirty-one thousand, eight hundred seventy-two".