351875856844800 has 5760 divisors, whose sum is σ = 1554339115929600. Its totient is φ = 78325465743360.

The previous prime is 351875856844741. The next prime is 351875856844877. The reversal of 351875856844800 is 8448658578153.

351875856844800 is a `hidden beast` number, since 3 + 5 + 1 + 8 + 7 + 5 + 85 + 68 + 4 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a super-2 number, since 2×351875856844800² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 7486720358377 + ... + 7486720358423.

It is an arithmetic number, because the mean of its divisors is an integer number (269850540960).

Almost surely, 2^{351875856844800} is an apocalyptic number.

351875856844800 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 351875856844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777169557964800).

351875856844800 is an abundant number, since it is smaller than the sum of its proper divisors (1202463259084800).

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

351875856844800 is an equidigital number, since it uses as much as digits as its factorization.

351875856844800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1032192000, while the sum is 72.

The spelling of 351875856844800 in words is "three hundred fifty-one trillion, eight hundred seventy-five billion, eight hundred fifty-six million, eight hundred forty-four thousand, eight hundred".