25751053440 has 640 divisors, whose sum is σ = 108767577600. Its totient is φ = 5680668672.

The previous prime is 25751053397. The next prime is 25751053453. The reversal of 25751053440 is 4435015752.

25751053440 is a `hidden beast` number, since 2 + 5 + 75 + 10 + 534 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 25751053395 and 25751053404.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10522297 + ... + 10524743.

It is an arithmetic number, because the mean of its divisors is an integer number (169949340).

Almost surely, 2^25751053440 is an apocalyptic number.

25751053440 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 25751053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54383788800).

25751053440 is an abundant number, since it is smaller than the sum of its proper divisors (83016524160).

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

25751053440 is a wasteful number, since it uses less digits than its factorization.

25751053440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2514 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 25751053440 in words is "twenty-five billion, seven hundred fifty-one million, fifty-three thousand, four hundred forty".