25651523040 has 1152 divisors, whose sum is σ = 107579404800. Its totient is φ = 5060689920.

The previous prime is 25651522999. The next prime is 25651523081. The reversal of 25651523040 is 4032515652.

It is an interprime number because it is at equal distance from previous prime (25651522999) and next prime (25651523081).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 25651522992 and 25651523010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 288219316 + ... + 288219404.

It is an arithmetic number, because the mean of its divisors is an integer number (93384900).

Almost surely, 2^25651523040 is an apocalyptic number.

25651523040 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 25651523040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53789702400).

25651523040 is an abundant number, since it is smaller than the sum of its proper divisors (81927881760).

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

25651523040 is a wasteful number, since it uses less digits than its factorization.

25651523040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 25651523040 in words is "twenty-five billion, six hundred fifty-one million, five hundred twenty-three thousand, forty".