25719145920 has 560 divisors, whose sum is σ = 99466042368. Its totient is φ = 6270566400.

The previous prime is 25719145889. The next prime is 25719145973. The reversal of 25719145920 is 2954191752.

25719145920 is a `hidden beast` number, since 2 + 5 + 7 + 191 + 459 + 2 + 0 = 666.

It is a super-2 number, since 2×25719145920² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42793620 + ... + 42794220.

Almost surely, 2^25719145920 is an apocalyptic number.

25719145920 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 25719145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49733021184).

25719145920 is an abundant number, since it is smaller than the sum of its proper divisors (73746896448).

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

25719145920 is a wasteful number, since it uses less digits than its factorization.

25719145920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 25719145920 in words is "twenty-five billion, seven hundred nineteen million, one hundred forty-five thousand, nine hundred twenty".