359985780057600 has 840 divisors, whose sum is σ = 1338873279895800. Its totient is φ = 95878075023360.

The previous prime is 359985780057581. The next prime is 359985780057613. The reversal of 359985780057600 is 6750087589953.

359985780057600 is a `hidden beast` number, since 3 + 5 + 9 + 9 + 8 + 5 + 7 + 8 + 0 + 0 + 5 + 7 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 7716879076 + ... + 7716925724.

Almost surely, 2^{359985780057600} is an apocalyptic number.

359985780057600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 359985780057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669436639947900).

359985780057600 is an abundant number, since it is smaller than the sum of its proper divisors (978887499838200).

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

359985780057600 is an frugal number, since it uses more digits than its factorization.

359985780057600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47522 (or 47486 counting only the distinct ones).

The product of its (nonzero) digits is 571536000, while the sum is 72.

The spelling of 359985780057600 in words is "three hundred fifty-nine trillion, nine hundred eighty-five billion, seven hundred eighty million, fifty-seven thousand, six hundred".