27485354400 has 432 divisors, whose sum is σ = 109557675360. Its totient is φ = 5951232000.

The previous prime is 27485354399. The next prime is 27485354411. The reversal of 27485354400 is 445358472.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2228250 + ... + 2240550.

It is an arithmetic number, because the mean of its divisors is an integer number (253605730).

Almost surely, 2^27485354400 is an apocalyptic number.

27485354400 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 27485354400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54778837680).

27485354400 is an abundant number, since it is smaller than the sum of its proper divisors (82072320960).

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

27485354400 is a wasteful number, since it uses less digits than its factorization.

27485354400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12357 (or 12337 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 42.

The spelling of 27485354400 in words is "twenty-seven billion, four hundred eighty-five million, three hundred fifty-four thousand, four hundred".