25076161440 has 576 divisors, whose sum is σ = 102533558400. Its totient is φ = 5719818240.

The previous prime is 25076161427. The next prime is 25076161471. The reversal of 25076161440 is 4416167052.

25076161440 is a `hidden beast` number, since 2 + 50 + 7 + 6 + 161 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 25076161395 and 25076161404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7268836 + ... + 7272284.

It is an arithmetic number, because the mean of its divisors is an integer number (178009650).

Almost surely, 2^25076161440 is an apocalyptic number.

25076161440 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 25076161440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51266779200).

25076161440 is an abundant number, since it is smaller than the sum of its proper divisors (77457396960).

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

25076161440 is a wasteful number, since it uses less digits than its factorization.

25076161440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3507 (or 3487 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

It can be divided in two parts, 2507616 and 1440, that added together give a square (2509056 = 1584²).

The spelling of 25076161440 in words is "twenty-five billion, seventy-six million, one hundred sixty-one thousand, four hundred forty".