353880962698560 has 1008 divisors, whose sum is σ = 1343297043144000. Its totient is φ = 78651880243200.

The previous prime is 353880962698553. The next prime is 353880962698649. The reversal of 353880962698560 is 65896269088353.

It is a super-2 number, since 2×353880962698560² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2120882016 + ... + 2121048864.

It is an arithmetic number, because the mean of its divisors is an integer number (1332635955500).

Almost surely, 2^{353880962698560} is an apocalyptic number.

353880962698560 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 353880962698560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671648521572000).

353880962698560 is an abundant number, since it is smaller than the sum of its proper divisors (989416080445440).

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

353880962698560 is a wasteful number, since it uses less digits than its factorization.

353880962698560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166972 (or 166920 counting only the distinct ones).

The product of its (nonzero) digits is 4031078400, while the sum is 78.

The spelling of 353880962698560 in words is "three hundred fifty-three trillion, eight hundred eighty billion, nine hundred sixty-two million, six hundred ninety-eight thousand, five hundred sixty".