25653753216 has 768 divisors, whose sum is σ = 97414732800. Its totient is φ = 6584094720.

The previous prime is 25653753163. The next prime is 25653753227. The reversal of 25653753216 is 61235735652.

25653753216 is a `hidden beast` number, since 2 + 5 + 65 + 375 + 3 + 216 = 666.

It is a super-5 number, since 5×25653753216⁵ (a number of 53 digits) contains 55555 as substring.

It is a congruent number.

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, 94663161 + ... + 94663431.

It is an arithmetic number, because the mean of its divisors is an integer number (126842100).

Almost surely, 2^25653753216 is an apocalyptic number.

25653753216 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 25653753216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48707366400).

25653753216 is an abundant number, since it is smaller than the sum of its proper divisors (71760979584).

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

25653753216 is a wasteful number, since it uses less digits than its factorization.

25653753216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 339 counting only the distinct ones).

The product of its digits is 1134000, while the sum is 45.

The spelling of 25653753216 in words is "twenty-five billion, six hundred fifty-three million, seven hundred fifty-three thousand, two hundred sixteen".