353606655360 has 256 divisors, whose sum is σ = 1288702794240. Its totient is φ = 80788979712.

The previous prime is 353606655287. The next prime is 353606655377. The reversal of 353606655360 is 63556606353.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42157087 + ... + 42165473.

It is an arithmetic number, because the mean of its divisors is an integer number (5033995290).

Almost surely, 2^353606655360 is an apocalyptic number.

353606655360 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 353606655360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644351397120).

353606655360 is an abundant number, since it is smaller than the sum of its proper divisors (935096138880).

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

353606655360 is a wasteful number, since it uses less digits than its factorization.

353606655360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11553 (or 11541 counting only the distinct ones).

The product of its (nonzero) digits is 4374000, while the sum is 48.

The spelling of 353606655360 in words is "three hundred fifty-three billion, six hundred six million, six hundred fifty-five thousand, three hundred sixty".