27753293313900 has 648 divisors, whose sum is σ = 116203438128960. Its totient is φ = 5463394272000.

The previous prime is 27753293313877. The next prime is 27753293313973. The reversal of 27753293313900 is 931339235772.

27753293313900 is a `hidden beast` number, since 2 + 7 + 7 + 532 + 9 + 3 + 3 + 13 + 90 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 7711335 + ... + 10722465.

Almost surely, 2^{27753293313900} is an apocalyptic number.

27753293313900 is a gapful number since it is divisible by the number (20) 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 27753293313900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58101719064480).

27753293313900 is an abundant number, since it is smaller than the sum of its proper divisors (88450144815060).

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

27753293313900 is a wasteful number, since it uses less digits than its factorization.

27753293313900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3011195 (or 3011178 counting only the distinct ones).

The product of its (nonzero) digits is 6429780, while the sum is 54.

The spelling of 27753293313900 in words is "twenty-seven trillion, seven hundred fifty-three billion, two hundred ninety-three million, three hundred thirteen thousand, nine hundred".