25231012976400 has 1440 divisors, whose sum is σ = 107367042736128. Its totient is φ = 4949683200000.

The previous prime is 25231012976371. The next prime is 25231012976401. The reversal of 25231012976400 is 467921013252.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (25231012976401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1291834635 + ... + 1291854165.

Almost surely, 2^{25231012976400} is an apocalyptic number.

25231012976400 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 25231012976400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53683521368064).

25231012976400 is an abundant number, since it is smaller than the sum of its proper divisors (82136029759728).

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

25231012976400 is a wasteful number, since it uses less digits than its factorization.

25231012976400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19653 (or 19631 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

Adding to 25231012976400 its reverse (467921013252), we get a palindrome (25698933989652).

The spelling of 25231012976400 in words is "twenty-five trillion, two hundred thirty-one billion, twelve million, nine hundred seventy-six thousand, four hundred".