27972339988320 has 1152 divisors, whose sum is σ = 121963063412736. Its totient is φ = 5895658192896.

The previous prime is 27972339988319. The next prime is 27972339988321. The reversal of 27972339988320 is 2388993327972.

27972339988320 is a `hidden beast` number, since 2 + 79 + 72 + 3 + 3 + 99 + 88 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (27972339988319) and next prime (27972339988321).

It is a super-2 number, since 2×27972339988320² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27972339988321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3881270157 + ... + 3881277363.

It is an arithmetic number, because the mean of its divisors is an integer number (105870714768).

Almost surely, 2^{27972339988320} is an apocalyptic number.

27972339988320 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 27972339988320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60981531706368).

27972339988320 is an abundant number, since it is smaller than the sum of its proper divisors (93990723424416).

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

27972339988320 is a wasteful number, since it uses less digits than its factorization.

27972339988320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8354 (or 8334 counting only the distinct ones).

The product of its (nonzero) digits is 493807104, while the sum is 72.

The spelling of 27972339988320 in words is "twenty-seven trillion, nine hundred seventy-two billion, three hundred thirty-nine million, nine hundred eighty-eight thousand, three hundred twenty".