359868497555952 has 1920 divisors, whose sum is σ = 1309143802576896. Its totient is φ = 90363651840000.

The previous prime is 359868497555893. The next prime is 359868497555981. The reversal of 359868497555952 is 259555794868953.

359868497555952 is a `hidden beast` number, since 3 + 5 + 9 + 8 + 6 + 8 + 4 + 9 + 7 + 5 + 5 + 595 + 2 = 666.

Its product of digits (146966400000) is a multiple of the sum of its prime factors (600).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1826743642318 + ... + 1826743642514.

Almost surely, 2^{359868497555952} 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 359868497555952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654571901288448).

359868497555952 is an abundant number, since it is smaller than the sum of its proper divisors (949275305020944).

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

359868497555952 is a wasteful number, since it uses less digits than its factorization.

359868497555952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 569 counting only the distinct ones).

The product of its digits is 146966400000, while the sum is 90.

The spelling of 359868497555952 in words is "three hundred fifty-nine trillion, eight hundred sixty-eight billion, four hundred ninety-seven million, five hundred fifty-five thousand, nine hundred fifty-two".