359855978496 has 384 divisors, whose sum is σ = 1130277657600. Its totient is φ = 99692052480.

The previous prime is 359855978491. The next prime is 359855978527. The reversal of 359855978496 is 694879558953.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×359855978496² (a number of 24 digits) contains 22 as substring.

Its product of digits (2939328000) is a multiple of the sum of its prime divisors (2025).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (359855978491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191513685 + ... + 191515563.

It is an arithmetic number, because the mean of its divisors is an integer number (2943431400).

Almost surely, 2^359855978496 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 359855978496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565138828800).

359855978496 is an abundant number, since it is smaller than the sum of its proper divisors (770421679104).

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

359855978496 is a wasteful number, since it uses less digits than its factorization.

359855978496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2045 (or 2025 counting only the distinct ones).

The product of its digits is 2939328000, while the sum is 78.

The spelling of 359855978496 in words is "three hundred fifty-nine billion, eight hundred fifty-five million, nine hundred seventy-eight thousand, four hundred ninety-six".