552714442076160 has 2496 divisors, whose sum is σ = 2462004176486400. Its totient is φ = 115819869634560.

The previous prime is 552714442076131. The next prime is 552714442076171. The reversal of 552714442076160 is 61670244417255.

552714442076160 is a `hidden beast` number, since 5 + 5 + 2 + 7 + 14 + 4 + 4 + 2 + 0 + 7 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a super-2 number, since 2×552714442076160² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 552714442076097 and 552714442076106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 67478257665 + ... + 67478265855.

It is an arithmetic number, because the mean of its divisors is an integer number (986379878400).

Almost surely, 2^{552714442076160} 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 552714442076160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231002088243200).

552714442076160 is an abundant number, since it is smaller than the sum of its proper divisors (1909289734410240).

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

552714442076160 is a wasteful number, since it uses less digits than its factorization.

552714442076160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8404 (or 8370 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 552714442076160 in words is "five hundred fifty-two trillion, seven hundred fourteen billion, four hundred forty-two million, seventy-six thousand, one hundred sixty".