25773348960 has 192 divisors, whose sum is σ = 90467616960. Its totient is φ = 6853017600.

The previous prime is 25773348949. The next prime is 25773348989. The reversal of 25773348960 is 6984337752.

25773348960 is a `hidden beast` number, since 2 + 5 + 77 + 33 + 489 + 60 = 666.

It is a super-2 number, since 2×25773348960² (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 junction number, because it is equal to n+sod(n) for n = 25773348897 and 25773348906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1516510 + ... + 1533410.

It is an arithmetic number, because the mean of its divisors is an integer number (471185505).

Almost surely, 2^25773348960 is an apocalyptic number.

25773348960 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 25773348960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45233808480).

25773348960 is an abundant number, since it is smaller than the sum of its proper divisors (64694268000).

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

25773348960 is a wasteful number, since it uses less digits than its factorization.

25773348960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17278 (or 17264 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 25773348960 in words is "twenty-five billion, seven hundred seventy-three million, three hundred forty-eight thousand, nine hundred sixty".