25776950400 has 864 divisors, whose sum is σ = 103480244400. Its totient is φ = 6091407360.

The previous prime is 25776950393. The next prime is 25776950413. The reversal of 25776950400 is 405967752.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 158140719 + ... + 158140881.

Almost surely, 2^25776950400 is an apocalyptic number.

25776950400 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 25776950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51740122200).

25776950400 is an abundant number, since it is smaller than the sum of its proper divisors (77703294000).

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

25776950400 is a wasteful number, since it uses less digits than its factorization.

25776950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 25776950400 in words is "twenty-five billion, seven hundred seventy-six million, nine hundred fifty thousand, four hundred".