5618737152000 has 2176 divisors, whose sum is σ = 25125366988800. Its totient is φ = 1210318848000.

The previous prime is 5618737151983. The next prime is 5618737152029. The reversal of 5618737152000 is 2517378165.

It is a happy number.

5618737152000 is a `hidden beast` number, since 5 + 618 + 7 + 3 + 7 + 1 + 5 + 20 + 0 + 0 = 666.

It is a super-2 number, since 2×5618737152000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29417471905 + ... + 29417472095.

Almost surely, 2^{5618737152000} is an apocalyptic number.

5618737152000 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 5618737152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12562683494400).

5618737152000 is an abundant number, since it is smaller than the sum of its proper divisors (19506629836800).

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

5618737152000 is an equidigital number, since it uses as much as digits as its factorization.

5618737152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 5618737152000 in words is "five trillion, six hundred eighteen billion, seven hundred thirty-seven million, one hundred fifty-two thousand".