5356855296000 has 2176 divisors, whose sum is σ = 22534313518080. Its totient is φ = 1261279641600.

The previous prime is 5356855295983. The next prime is 5356855296007. The reversal of 5356855296000 is 6925586535.

5356855296000 is a `hidden beast` number, since 5 + 3 + 5 + 6 + 8 + 5 + 5 + 29 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5356855296007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 232906751989 + ... + 232906752011.

Almost surely, 2^{5356855296000} is an apocalyptic number.

5356855296000 is a gapful number since it is divisible by the number (50) 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 5356855296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11267156759040).

5356855296000 is an abundant number, since it is smaller than the sum of its proper divisors (17177458222080).

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

5356855296000 is an frugal number, since it uses more digits than its factorization.

5356855296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 9720000, while the sum is 54.

The spelling of 5356855296000 in words is "five trillion, three hundred fifty-six billion, eight hundred fifty-five million, two hundred ninety-six thousand".