356021097120 has 1536 divisors, whose sum is σ = 1495646208000. Its totient is φ = 78292500480.

The previous prime is 356021097049. The next prime is 356021097161. The reversal of 356021097120 is 21790120653.

356021097120 is a `hidden beast` number, since 3 + 560 + 2 + 1 + 0 + 9 + 71 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1554677166 + ... + 1554677394.

It is an arithmetic number, because the mean of its divisors is an integer number (973728000).

Almost surely, 2^356021097120 is an apocalyptic number.

356021097120 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 356021097120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747823104000).

356021097120 is an abundant number, since it is smaller than the sum of its proper divisors (1139625110880).

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

356021097120 is a wasteful number, since it uses less digits than its factorization.

356021097120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 356021097120 in words is "three hundred fifty-six billion, twenty-one million, ninety-seven thousand, one hundred twenty".