557772096 has 168 divisors, whose sum is σ = 1736665056. Its totient is φ = 157516800.

The previous prime is 557772043. The next prime is 557772097. The reversal of 557772096 is 690277755.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×557772096² = 622219422152466432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557772097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 949915 + ... + 950501.

It is an arithmetic number, because the mean of its divisors is an integer number (10337292).

Almost surely, 2^557772096 is an apocalyptic number.

557772096 is a gapful number since it is divisible by the number (56) 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 557772096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868332528).

557772096 is an abundant number, since it is smaller than the sum of its proper divisors (1178892960).

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

557772096 is a wasteful number, since it uses less digits than its factorization.

557772096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 926100, while the sum is 48.

The square root of 557772096 is about 23617.1991565469. The cubic root of 557772096 is about 823.1625324240.

The spelling of 557772096 in words is "five hundred fifty-seven million, seven hundred seventy-two thousand, ninety-six".