21970718325504 has 576 divisors, whose sum is σ = 74564963020800. Its totient is φ = 6328689573888.

The previous prime is 21970718325499. The next prime is 21970718325533. The reversal of 21970718325504 is 40552381707912.

21970718325504 is a `hidden beast` number, since 2 + 1 + 9 + 7 + 0 + 7 + 1 + 83 + 2 + 550 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97021242 + ... + 97247430.

It is an arithmetic number, because the mean of its divisors is an integer number (129453060800).

Almost surely, 2^{21970718325504} is an apocalyptic number.

21970718325504 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 21970718325504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37282481510400).

21970718325504 is an abundant number, since it is smaller than the sum of its proper divisors (52594244695296).

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

21970718325504 is a wasteful number, since it uses less digits than its factorization.

21970718325504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226297 (or 226277 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 21970718325504 in words is "twenty-one trillion, nine hundred seventy billion, seven hundred eighteen million, three hundred twenty-five thousand, five hundred four".