552888267179040 has 432 divisors, whose sum is σ = 2043293965509888. Its totient is φ = 136077887821824.

The previous prime is 552888267178999. The next prime is 552888267179111. The reversal of 552888267179040 is 40971762888255.

552888267179040 is a `hidden beast` number, since 5 + 5 + 288 + 82 + 67 + 179 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 552888267179040.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1924103857 + ... + 1924391183.

It is an arithmetic number, because the mean of its divisors is an integer number (4729847142384).

Almost surely, 2^{552888267179040} 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 552888267179040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021646982754944).

552888267179040 is an abundant number, since it is smaller than the sum of its proper divisors (1490405698330848).

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

552888267179040 is a wasteful number, since it uses less digits than its factorization.

552888267179040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295281 (or 295257 counting only the distinct ones).

The product of its (nonzero) digits is 541900800, while the sum is 72.

The spelling of 552888267179040 in words is "five hundred fifty-two trillion, eight hundred eighty-eight billion, two hundred sixty-seven million, one hundred seventy-nine thousand, forty".