25152762640 has 80 divisors (see below), whose sum is σ = 60530697216. Its totient is φ = 9710092800.

The previous prime is 25152762629. The next prime is 25152762731. The reversal of 25152762640 is 4626725152.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×25152762640² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 25152762593 and 25152762602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 911445 + ... + 938635.

Almost surely, 2^25152762640 is an apocalyptic number.

25152762640 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 25152762640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30265348608).

25152762640 is an abundant number, since it is smaller than the sum of its proper divisors (35377934576).

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

25152762640 is a wasteful number, since it uses less digits than its factorization.

25152762640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27608 (or 27602 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 25152762640 in words is "twenty-five billion, one hundred fifty-two million, seven hundred sixty-two thousand, six hundred forty".