25643071238400 has 8640 divisors, whose sum is σ = 137362024267776. Its totient is φ = 4554620928000.

The previous prime is 25643071238357. The next prime is 25643071238401. The reversal of 25643071238400 is 483217034652.

25643071238400 is a `hidden beast` number, since 2 + 5 + 6 + 4 + 3 + 0 + 7 + 1 + 238 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (8640).

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

It is not an unprimeable number, because it can be changed into a prime (25643071238401) by changing a digit.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 483831532774 + ... + 483831532826.

Almost surely, 2^{25643071238400} is an apocalyptic number.

25643071238400 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 25643071238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68681012133888).

25643071238400 is an abundant number, since it is smaller than the sum of its proper divisors (111718953029376).

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

25643071238400 is a wasteful number, since it uses less digits than its factorization.

25643071238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 25643071238400 in words is "twenty-five trillion, six hundred forty-three billion, seventy-one million, two hundred thirty-eight thousand, four hundred".