25121275417920 has 896 divisors, whose sum is σ = 92528013104640. Its totient is φ = 5717591326720.

The previous prime is 25121275417859. The next prime is 25121275417939. The reversal of 25121275417920 is 2971457212152.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 25121275417920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1834064512 + ... + 1834078208.

Almost surely, 2^{25121275417920} is an apocalyptic number.

25121275417920 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 25121275417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46264006552320).

25121275417920 is an abundant number, since it is smaller than the sum of its proper divisors (67406737686720).

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

25121275417920 is a wasteful number, since it uses less digits than its factorization.

25121275417920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13923 (or 13913 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 48.

The spelling of 25121275417920 in words is "twenty-five trillion, one hundred twenty-one billion, two hundred seventy-five million, four hundred seventeen thousand, nine hundred twenty".