27153553068400 has 120 divisors (see below), whose sum is σ = 71172866908368. Its totient is φ = 9873204480000.

The previous prime is 27153553068377. The next prime is 27153553068407. The reversal of 27153553068400 is 486035535172.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27153553068407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54403980 + ... + 54900820.

Almost surely, 2^{27153553068400} is an apocalyptic number.

27153553068400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27153553068400 is an abundant number, since it is smaller than the sum of its proper divisors (44019313839968).

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

27153553068400 is a wasteful number, since it uses less digits than its factorization.

27153553068400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509291 (or 509280 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 49.

The spelling of 27153553068400 in words is "twenty-seven trillion, one hundred fifty-three billion, five hundred fifty-three million, sixty-eight thousand, four hundred".