25145033472 has 864 divisors, whose sum is σ = 89996175360. Its totient is φ = 6927482880.

The previous prime is 25145033423. The next prime is 25145033527. The reversal of 25145033472 is 27433054152.

25145033472 is a `hidden beast` number, since 2 + 51 + 4 + 503 + 34 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 426186979 + ... + 426187037.

It is an arithmetic number, because the mean of its divisors is an integer number (104162240).

Almost surely, 2^25145033472 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 25145033472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44998087680).

25145033472 is an abundant number, since it is smaller than the sum of its proper divisors (64851141888).

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

25145033472 is a wasteful number, since it uses less digits than its factorization.

25145033472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 25145033472 in words is "twenty-five billion, one hundred forty-five million, thirty-three thousand, four hundred seventy-two".