25770572416512 has 640 divisors, whose sum is σ = 95460297292800. Its totient is φ = 6668697600000.

The previous prime is 25770572416507. The next prime is 25770572416529. The reversal of 25770572416512 is 21561427507752.

25770572416512 is a `hidden beast` number, since 2 + 5 + 7 + 7 + 0 + 572 + 4 + 1 + 65 + 1 + 2 = 666.

It is a super-2 number, since 2×25770572416512² (a number of 28 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 63 ways as a sum of consecutive naturals, for example, 286291512 + ... + 286381512.

It is an arithmetic number, because the mean of its divisors is an integer number (149156714520).

Almost surely, 2^{25770572416512} is an apocalyptic number.

25770572416512 is a gapful number since it is divisible by the number (22) 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 25770572416512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47730148646400).

25770572416512 is an abundant number, since it is smaller than the sum of its proper divisors (69689724876288).

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

25770572416512 is a wasteful number, since it uses less digits than its factorization.

25770572416512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90315 (or 90293 counting only the distinct ones).

The product of its (nonzero) digits is 8232000, while the sum is 54.

The spelling of 25770572416512 in words is "twenty-five trillion, seven hundred seventy billion, five hundred seventy-two million, four hundred sixteen thousand, five hundred twelve".