25801051357440 has 864 divisors, whose sum is σ = 96098130326016. Its totient is φ = 6623270830080.

The previous prime is 25801051357429. The next prime is 25801051357481. The reversal of 25801051357440 is 4475315010852.

25801051357440 is a `hidden beast` number, since 2 + 5 + 80 + 1 + 0 + 513 + 57 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×25801051357440² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 891737214 + ... + 891766146.

Almost surely, 2^{25801051357440} is an apocalyptic number.

25801051357440 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 25801051357440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48049065163008).

25801051357440 is an abundant number, since it is smaller than the sum of its proper divisors (70297078968576).

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

25801051357440 is an equidigital number, since it uses as much as digits as its factorization.

25801051357440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29077 (or 29051 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 25801051357440 in words is "twenty-five trillion, eight hundred one billion, fifty-one million, three hundred fifty-seven thousand, four hundred forty".