25106752000 has 320 divisors, whose sum is σ = 71929503360. Its totient is φ = 8644608000.

The previous prime is 25106751977. The next prime is 25106752009. The reversal of 25106752000 is 25760152.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 25106752000.

It is not an unprimeable number, because it can be changed into a prime (25106752009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13375062 + ... + 13376938.

It is an arithmetic number, because the mean of its divisors is an integer number (224779698).

Almost surely, 2^25106752000 is an apocalyptic number.

25106752000 is a gapful number since it is divisible by the number (20) 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 25106752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35964751680).

25106752000 is an abundant number, since it is smaller than the sum of its proper divisors (46822751360).

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

25106752000 is a wasteful number, since it uses less digits than its factorization.

25106752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The spelling of 25106752000 in words is "twenty-five billion, one hundred six million, seven hundred fifty-two thousand".