557700084480 has 576 divisors, whose sum is σ = 2317239042048. Its totient is φ = 110845870080.

The previous prime is 557700084467. The next prime is 557700084511. The reversal of 557700084480 is 84480007755.

It is a super-2 number, since 2×557700084480² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6759637 + ... + 6841643.

It is an arithmetic number, because the mean of its divisors is an integer number (4022984448).

Almost surely, 2^557700084480 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 557700084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158619521024).

557700084480 is an abundant number, since it is smaller than the sum of its proper divisors (1759538957568).

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

557700084480 is a wasteful number, since it uses less digits than its factorization.

557700084480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82072 (or 82058 counting only the distinct ones).

The product of its (nonzero) digits is 1254400, while the sum is 48.

It can be divided in two parts, 5577000 and 84480, that multiplied together give a square (471144960000 = 686400²).

The spelling of 557700084480 in words is "five hundred fifty-seven billion, seven hundred million, eighty-four thousand, four hundred eighty".