21977063627904 has 2560 divisors, whose sum is σ = 87423540019200. Its totient is φ = 5359343616000.

The previous prime is 21977063627891. The next prime is 21977063627923. The reversal of 21977063627904 is 40972636077912.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 122776891687 + ... + 122776891865.

It is an arithmetic number, because the mean of its divisors is an integer number (34149820320).

Almost surely, 2^{21977063627904} is an apocalyptic number.

21977063627904 is a gapful number since it is divisible by the number (24) 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 21977063627904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43711770009600).

21977063627904 is an abundant number, since it is smaller than the sum of its proper divisors (65446476391296).

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

21977063627904 is a wasteful number, since it uses less digits than its factorization.

21977063627904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 63.

The spelling of 21977063627904 in words is "twenty-one trillion, nine hundred seventy-seven billion, sixty-three million, six hundred twenty-seven thousand, nine hundred four".