353087400960 has 528 divisors, whose sum is σ = 1443360202752. Its totient is φ = 78100070400.

The previous prime is 353087400947. The next prime is 353087400977. The reversal of 353087400960 is 69004780353.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9981705 + ... + 10017015.

Almost surely, 2^353087400960 is an apocalyptic number.

353087400960 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 353087400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721680101376).

353087400960 is an abundant number, since it is smaller than the sum of its proper divisors (1090272801792).

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

353087400960 is a wasteful number, since it uses less digits than its factorization.

353087400960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35380 (or 35359 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 353087400960 in words is "three hundred fifty-three billion, eighty-seven million, four hundred thousand, nine hundred sixty".