25100515440 has 1920 divisors, whose sum is σ = 125477683200. Its totient is φ = 4464046080.

The previous prime is 25100515439. The next prime is 25100515469. The reversal of 25100515440 is 4451500152.

25100515440 is a `hidden beast` number, since 2 + 5 + 100 + 515 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 534053497 + ... + 534053543.

It is an arithmetic number, because the mean of its divisors is an integer number (65352960).

Almost surely, 2^25100515440 is an apocalyptic number.

25100515440 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 25100515440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62738841600).

25100515440 is an abundant number, since it is smaller than the sum of its proper divisors (100377167760).

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

25100515440 is a wasteful number, since it uses less digits than its factorization.

25100515440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 25100515440 in words is "twenty-five billion, one hundred million, five hundred fifteen thousand, four hundred forty".