21625708769280 has 4160 divisors, whose sum is σ = 107033137440768. Its totient is φ = 4036094853120.

The previous prime is 21625708769267. The next prime is 21625708769281. The reversal of 21625708769280 is 8296780752612.

21625708769280 is a `hidden beast` number, since 21 + 6 + 257 + 0 + 87 + 6 + 9 + 280 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21625708769281) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 49943899944 + ... + 49943900376.

Almost surely, 2^{21625708769280} is an apocalyptic number.

21625708769280 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 21625708769280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53516568720384).

21625708769280 is an abundant number, since it is smaller than the sum of its proper divisors (85407428671488).

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

21625708769280 is a wasteful number, since it uses less digits than its factorization.

21625708769280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 21625708769280 in words is "twenty-one trillion, six hundred twenty-five billion, seven hundred eight million, seven hundred sixty-nine thousand, two hundred eighty".