25038564096 has 648 divisors, whose sum is σ = 87330668544. Its totient is φ = 6340239360.

The previous prime is 25038564091. The next prime is 25038564157. The reversal of 25038564096 is 69046583052.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25038564091) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 197153985 + ... + 197154111.

Almost surely, 2^25038564096 is an apocalyptic number.

25038564096 is a gapful number since it is divisible by the number (26) 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 25038564096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43665334272).

25038564096 is an abundant number, since it is smaller than the sum of its proper divisors (62292104448).

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

25038564096 is a wasteful number, since it uses less digits than its factorization.

25038564096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 25038564096 in words is "twenty-five billion, thirty-eight million, five hundred sixty-four thousand, ninety-six".