25389262080 has 1512 divisors, whose sum is σ = 117745584768. Its totient is φ = 5123948544.

The previous prime is 25389262079. The next prime is 25389262117. The reversal of 25389262080 is 8026298352.

It is a happy number.

25389262080 is a `hidden beast` number, since 2 + 5 + 389 + 262 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a super-2 number, since 2×25389262080² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1103880949 + ... + 1103880971.

It is an arithmetic number, because the mean of its divisors is an integer number (77874064).

Almost surely, 2^25389262080 is an apocalyptic number.

25389262080 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 25389262080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58872792384).

25389262080 is an abundant number, since it is smaller than the sum of its proper divisors (92356322688).

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

25389262080 is an equidigital number, since it uses as much as digits as its factorization.

25389262080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 25389262080 in words is "twenty-five billion, three hundred eighty-nine million, two hundred sixty-two thousand, eighty".