25310263680 has 768 divisors, whose sum is σ = 101649038400. Its totient is φ = 5747245056.

The previous prime is 25310263639. The next prime is 25310263687. The reversal of 25310263680 is 8636201352.

It is a happy number.

25310263680 is a `hidden beast` number, since 2 + 5 + 3 + 10 + 2 + 636 + 8 + 0 = 666.

It is a super-2 number, since 2×25310263680² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25310263687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75104472 + ... + 75104808.

Almost surely, 2^25310263680 is an apocalyptic number.

25310263680 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 25310263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50824519200).

25310263680 is an abundant number, since it is smaller than the sum of its proper divisors (76338774720).

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

25310263680 is a wasteful number, since it uses less digits than its factorization.

25310263680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 25310263680 in words is "twenty-five billion, three hundred ten million, two hundred sixty-three thousand, six hundred eighty".