25770706416 has 480 divisors, whose sum is σ = 94043980800. Its totient is φ = 6695861760.

The previous prime is 25770706397. The next prime is 25770706469. The reversal of 25770706416 is 61460707752.

25770706416 is a `hidden beast` number, since 2 + 577 + 0 + 7 + 0 + 64 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19537405 + ... + 19538723.

It is an arithmetic number, because the mean of its divisors is an integer number (195924960).

Almost surely, 2^25770706416 is an apocalyptic number.

25770706416 is a gapful number since it is divisible by the number (26) 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 25770706416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47021990400).

25770706416 is an abundant number, since it is smaller than the sum of its proper divisors (68273274384).

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

25770706416 is a wasteful number, since it uses less digits than its factorization.

25770706416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 25770706416 in words is "twenty-five billion, seven hundred seventy million, seven hundred six thousand, four hundred sixteen".