552792106401920 has 4096 divisors, whose sum is σ = 1883300718182400. Its totient is φ = 150214901760000.

The previous prime is 552792106401883. The next prime is 552792106401943. The reversal of 552792106401920 is 29104601297255.

It is a super-2 number, since 2×552792106401920² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 7785804315485 + ... + 7785804315555.

It is an arithmetic number, because the mean of its divisors is an integer number (459790214400).

Almost surely, 2^{552792106401920} 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 552792106401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941650359091200).

552792106401920 is an abundant number, since it is smaller than the sum of its proper divisors (1330508611780480).

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

552792106401920 is a wasteful number, since it uses less digits than its factorization.

552792106401920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 53.

The spelling of 552792106401920 in words is "five hundred fifty-two trillion, seven hundred ninety-two billion, one hundred six million, four hundred one thousand, nine hundred twenty".