27972825249600 has 5376 divisors, whose sum is σ = 141383316602880. Its totient is φ = 5267275776000.

The previous prime is 27972825249587. The next prime is 27972825249601. The reversal of 27972825249600 is 694252827972.

27972825249600 is a `hidden beast` number, since 2 + 7 + 97 + 2 + 8 + 2 + 52 + 496 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27972825249601) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 141994036702 + ... + 141994036898.

Almost surely, 2^{27972825249600} is an apocalyptic number.

27972825249600 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 27972825249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70691658301440).

27972825249600 is an abundant number, since it is smaller than the sum of its proper divisors (113410491353280).

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

27972825249600 is a wasteful number, since it uses less digits than its factorization.

27972825249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 27972825249600 in words is "twenty-seven trillion, nine hundred seventy-two billion, eight hundred twenty-five million, two hundred forty-nine thousand, six hundred".