25058778624 has 480 divisors, whose sum is σ = 83072183040. Its totient is φ = 7451136000.

The previous prime is 25058778571. The next prime is 25058778631. The reversal of 25058778624 is 42687785052.

25058778624 is a `hidden beast` number, since 2 + 5 + 0 + 5 + 8 + 7 + 7 + 8 + 624 = 666.

It is a super-2 number, since 2×25058778624² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 47 ways as a sum of consecutive naturals, for example, 118761879 + ... + 118762089.

It is an arithmetic number, because the mean of its divisors is an integer number (173067048).

Almost surely, 2^25058778624 is an apocalyptic number.

25058778624 is a gapful number since it is divisible by the number (24) 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 25058778624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41536091520).

25058778624 is an abundant number, since it is smaller than the sum of its proper divisors (58013404416).

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

25058778624 is a wasteful number, since it uses less digits than its factorization.

25058778624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 25058778624 in words is "twenty-five billion, fifty-eight million, seven hundred seventy-eight thousand, six hundred twenty-four".