27972213973776 has 240 divisors, whose sum is σ = 82369271362560. Its totient is φ = 8848631393280.

The previous prime is 27972213973733. The next prime is 27972213973787. The reversal of 27972213973776 is 67737931227972.

27972213973776 is a `hidden beast` number, since 2 + 7 + 9 + 7 + 221 + 397 + 3 + 7 + 7 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 362450745 + ... + 362527911.

It is an arithmetic number, because the mean of its divisors is an integer number (343205297344).

Almost surely, 2^{27972213973776} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27972213973776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41184635681280).

27972213973776 is an abundant number, since it is smaller than the sum of its proper divisors (54397057388784).

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

27972213973776 is a wasteful number, since it uses less digits than its factorization.

27972213973776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78694 (or 78685 counting only the distinct ones).

The product of its digits is 588110544, while the sum is 72.

The spelling of 27972213973776 in words is "twenty-seven trillion, nine hundred seventy-two billion, two hundred thirteen million, nine hundred seventy-three thousand, seven hundred seventy-six".