25377468480 has 1680 divisors, whose sum is σ = 119195057520. Its totient is φ = 5072191488.

The previous prime is 25377468469. The next prime is 25377468497. The reversal of 25377468480 is 8486477352.

25377468480 is a `hidden beast` number, since 2 + 5 + 37 + 74 + 68 + 480 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 491774976 + 24885693504 = 22176^2 + 157752^2 .

It is a tau number, because it is divible by the number of its divisors (1680).

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 239 ways as a sum of consecutive naturals, for example, 478820134 + ... + 478820186.

It is an arithmetic number, because the mean of its divisors is an integer number (70949439).

Almost surely, 2^25377468480 is an apocalyptic number.

25377468480 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 25377468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59597528760).

25377468480 is an abundant number, since it is smaller than the sum of its proper divisors (93817589040).

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

25377468480 is a wasteful number, since it uses less digits than its factorization.

25377468480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 25377468480 in words is "twenty-five billion, three hundred seventy-seven million, four hundred sixty-eight thousand, four hundred eighty".