351478751520 has 96 divisors (see below), whose sum is σ = 1192324093632. Its totient is φ = 86517844992.

The previous prime is 351478751513. The next prime is 351478751531. The reversal of 351478751520 is 25157874153.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 351478751520.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28157122 + ... + 28169601.

It is an arithmetic number, because the mean of its divisors is an integer number (12420042642).

Almost surely, 2^351478751520 is an apocalyptic number.

351478751520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

351478751520 is an abundant number, since it is smaller than the sum of its proper divisors (840845342112).

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

351478751520 is a wasteful number, since it uses less digits than its factorization.

351478751520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56326754 (or 56326746 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 48.

The spelling of 351478751520 in words is "three hundred fifty-one billion, four hundred seventy-eight million, seven hundred fifty-one thousand, five hundred twenty".