355561081920 has 1344 divisors, whose sum is σ = 1503646675200. Its totient is φ = 78166425600.

The previous prime is 355561081901. The next prime is 355561081957. The reversal of 355561081920 is 29180165553.

355561081920 is a `hidden beast` number, since 3 + 5 + 5 + 5 + 610 + 8 + 1 + 9 + 20 = 666.

It is a super-2 number, since 2×355561081920² (a number of 24 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 1552668366 + ... + 1552668594.

Almost surely, 2^355561081920 is an apocalyptic number.

355561081920 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 355561081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751823337600).

355561081920 is an abundant number, since it is smaller than the sum of its proper divisors (1148085593280).

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

355561081920 is a wasteful number, since it uses less digits than its factorization.

355561081920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 355561081920 in words is "three hundred fifty-five billion, five hundred sixty-one million, eighty-one thousand, nine hundred twenty".