25272213557760 has 1920 divisors, whose sum is σ = 102095465472000. Its totient is φ = 5725158506496.

The previous prime is 25272213557587. The next prime is 25272213557813. The reversal of 25272213557760 is 6775531227252.

25272213557760 is a `hidden beast` number, since 2 + 5 + 2 + 7 + 2 + 2 + 1 + 3 + 5 + 577 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 25272213557697 and 25272213557706.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30121827421 + ... + 30121828259.

It is an arithmetic number, because the mean of its divisors is an integer number (53174721600).

Almost surely, 2^{25272213557760} is an apocalyptic number.

25272213557760 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 25272213557760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51047732736000).

25272213557760 is an abundant number, since it is smaller than the sum of its proper divisors (76823251914240).

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

25272213557760 is a wasteful number, since it uses less digits than its factorization.

25272213557760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 12348000, while the sum is 54.

The spelling of 25272213557760 in words is "twenty-five trillion, two hundred seventy-two billion, two hundred thirteen million, five hundred fifty-seven thousand, seven hundred sixty".