355991580672 has 832 divisors, whose sum is σ = 1261333269504. Its totient is φ = 86633349120.

The previous prime is 355991580641. The next prime is 355991580673. The reversal of 355991580672 is 276085199553.

It is a tau number, because it is divible by the number of its divisors (832).

It is a super-3 number, since 3×355991580672³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355991580673) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1159581543 + ... + 1159581849.

Almost surely, 2^355991580672 is an apocalyptic number.

355991580672 is a gapful number since it is divisible by the number (32) 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 355991580672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630666634752).

355991580672 is an abundant number, since it is smaller than the sum of its proper divisors (905341688832).

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

355991580672 is a wasteful number, since it uses less digits than its factorization.

355991580672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 20412000, while the sum is 60.

The spelling of 355991580672 in words is "three hundred fifty-five billion, nine hundred ninety-one million, five hundred eighty thousand, six hundred seventy-two".