25435372032 has 640 divisors, whose sum is σ = 90927513600. Its totient is φ = 6867763200.

The previous prime is 25435372031. The next prime is 25435372037. The reversal of 25435372032 is 23027353452.

25435372032 is a `hidden beast` number, since 254 + 3 + 5 + 372 + 0 + 32 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (25435372031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 182988219 + ... + 182988357.

It is an arithmetic number, because the mean of its divisors is an integer number (142074240).

Almost surely, 2^25435372032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25435372032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45463756800).

25435372032 is an abundant number, since it is smaller than the sum of its proper divisors (65492141568).

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

25435372032 is a wasteful number, since it uses less digits than its factorization.

25435372032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 36.

The spelling of 25435372032 in words is "twenty-five billion, four hundred thirty-five million, three hundred seventy-two thousand, thirty-two".