350561055600 has 480 divisors, whose sum is σ = 1431613847040. Its totient is φ = 79812034560.

The previous prime is 350561055589. The next prime is 350561055623. The reversal of 350561055600 is 6550165053.

350561055600 is a `hidden beast` number, since 3 + 50 + 56 + 1 + 0 + 556 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19420179 + ... + 19438221.

It is an arithmetic number, because the mean of its divisors is an integer number (2982528848).

Almost surely, 2^350561055600 is an apocalyptic number.

350561055600 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 350561055600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715806923520).

350561055600 is an abundant number, since it is smaller than the sum of its proper divisors (1081052791440).

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

350561055600 is a wasteful number, since it uses less digits than its factorization.

350561055600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18334 (or 18317 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The spelling of 350561055600 in words is "three hundred fifty billion, five hundred sixty-one million, fifty-five thousand, six hundred".