27953264486400 has 576 divisors, whose sum is σ = 100962198005760. Its totient is φ = 6766347878400.

The previous prime is 27953264486363. The next prime is 27953264486401. The reversal of 27953264486400 is 468446235972.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (27953264486401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1153984689 + ... + 1154008911.

It is an arithmetic number, because the mean of its divisors is an integer number (175281593760).

Almost surely, 2^{27953264486400} is an apocalyptic number.

27953264486400 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 27953264486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50481099002880).

27953264486400 is an abundant number, since it is smaller than the sum of its proper divisors (73008933519360).

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

27953264486400 is a wasteful number, since it uses less digits than its factorization.

27953264486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24952 (or 24927 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 60.

The spelling of 27953264486400 in words is "twenty-seven trillion, nine hundred fifty-three billion, two hundred sixty-four million, four hundred eighty-six thousand, four hundred".