552772684800 has 1584 divisors, whose sum is σ = 2488529712000. Its totient is φ = 119558799360.

The previous prime is 552772684759. The next prime is 552772684801. The reversal of 552772684800 is 8486277255.

552772684800 is a `hidden beast` number, since 5 + 527 + 72 + 6 + 8 + 48 + 0 + 0 = 666.

It is a super-2 number, since 2×552772684800² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (552772684801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 643506771 + ... + 643507629.

Almost surely, 2^552772684800 is an apocalyptic number.

552772684800 is a gapful number since it is divisible by the number (50) 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 552772684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244264856000).

552772684800 is an abundant number, since it is smaller than the sum of its proper divisors (1935757027200).

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

552772684800 is a wasteful number, since it uses less digits than its factorization.

552772684800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 552772684800 in words is "five hundred fifty-two billion, seven hundred seventy-two million, six hundred eighty-four thousand, eight hundred".