25284051072 has 512 divisors, whose sum is σ = 87919104000. Its totient is φ = 7005118464.

The previous prime is 25284051031. The next prime is 25284051073. The reversal of 25284051072 is 27015048252.

It is a happy number.

It is a super-2 number, since 2×25284051072² (a number of 22 digits) contains 22 as substring.

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 (25284051073) 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, 181899579 + ... + 181899717.

It is an arithmetic number, because the mean of its divisors is an integer number (171717000).

Almost surely, 2^25284051072 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 25284051072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43959552000).

25284051072 is an abundant number, since it is smaller than the sum of its proper divisors (62635052928).

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

25284051072 is a wasteful number, since it uses less digits than its factorization.

25284051072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 25284051072 in words is "twenty-five billion, two hundred eighty-four million, fifty-one thousand, seventy-two".