350051615680 has 112 divisors (see below), whose sum is σ = 898433442144. Its totient is φ = 129141411840.

The previous prime is 350051615663. The next prime is 350051615743. The reversal of 350051615680 is 86516150053.

It is a super-2 number, since 2×350051615680² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 5011395 + ... + 5080765.

It is an arithmetic number, because the mean of its divisors is an integer number (8021727162).

Almost surely, 2^350051615680 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 350051615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449216721072).

350051615680 is an abundant number, since it is smaller than the sum of its proper divisors (548381826464).

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

350051615680 is a wasteful number, since it uses less digits than its factorization.

350051615680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70614 (or 70604 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 40.

The spelling of 350051615680 in words is "three hundred fifty billion, fifty-one million, six hundred fifteen thousand, six hundred eighty".