25793053440 has 576 divisors, whose sum is σ = 104039534592. Its totient is φ = 5289984000.

The previous prime is 25793053397. The next prime is 25793053441. The reversal of 25793053440 is 4435039752.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 25793053392 and 25793053401.

It is not an unprimeable number, because it can be changed into a prime (25793053441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24540915 + ... + 24541965.

It is an arithmetic number, because the mean of its divisors is an integer number (180624192).

Almost surely, 2^25793053440 is an apocalyptic number.

25793053440 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 25793053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52019767296).

25793053440 is an abundant number, since it is smaller than the sum of its proper divisors (78246481152).

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

25793053440 is a wasteful number, since it uses less digits than its factorization.

25793053440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The spelling of 25793053440 in words is "twenty-five billion, seven hundred ninety-three million, fifty-three thousand, four hundred forty".