25112672064 has 84 divisors (see below), whose sum is σ = 72045274756. Its totient is φ = 8363409408.

The previous prime is 25112672059. The next prime is 25112672069. The reversal of 25112672064 is 46027621152.

It is a happy number.

25112672064 is a `hidden beast` number, since 2 + 511 + 2 + 67 + 20 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (25112672059) and next prime (25112672069).

It can be written as a sum of positive squares in 2 ways, for example, as 6887672064 + 18225000000 = 82992^2 + 135000^2 .

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 (25112672069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 645222 + ... + 683034.

Almost surely, 2^25112672064 is an apocalyptic number.

25112672064 is a gapful number since it is divisible by the number (24) 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 25112672064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36022637378).

25112672064 is an abundant number, since it is smaller than the sum of its proper divisors (46932602692).

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

25112672064 is a wasteful number, since it uses less digits than its factorization.

25112672064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38984 (or 38971 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 25112672064 in words is "twenty-five billion, one hundred twelve million, six hundred seventy-two thousand, sixty-four".