21907123273728 has 1632 divisors, whose sum is σ = 83541845237760. Its totient is φ = 5551187558400.

The previous prime is 21907123273699. The next prime is 21907123273747. The reversal of 21907123273728 is 82737232170912.

21907123273728 is a `hidden beast` number, since 219 + 0 + 71 + 2 + 327 + 37 + 2 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70440910693 + ... + 70440911003.

Almost surely, 2^{21907123273728} is an apocalyptic number.

21907123273728 is a gapful number since it is divisible by the number (28) 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 21907123273728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41770922618880).

21907123273728 is an abundant number, since it is smaller than the sum of its proper divisors (61634721964032).

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

21907123273728 is an equidigital number, since it uses as much as digits as its factorization.

21907123273728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 21907123273728 in words is "twenty-one trillion, nine hundred seven billion, one hundred twenty-three million, two hundred seventy-three thousand, seven hundred twenty-eight".