25146826721280 has 1920 divisors, whose sum is σ = 101827409523840. Its totient is φ = 5882149601280.

The previous prime is 25146826721279. The next prime is 25146826721309. The reversal of 25146826721280 is 8212762864152.

25146826721280 is a `hidden beast` number, since 2 + 5 + 1 + 468 + 26 + 72 + 12 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 159 ways as a sum of consecutive naturals, for example, 55025878812 + ... + 55025879268.

It is an arithmetic number, because the mean of its divisors is an integer number (53035109127).

Almost surely, 2^{25146826721280} is an apocalyptic number.

25146826721280 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 25146826721280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50913704761920).

25146826721280 is an abundant number, since it is smaller than the sum of its proper divisors (76680582802560).

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

25146826721280 is a wasteful number, since it uses less digits than its factorization.

25146826721280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 25146826721280 in words is "twenty-five trillion, one hundred forty-six billion, eight hundred twenty-six million, seven hundred twenty-one thousand, two hundred eighty".