25769961071400 has 768 divisors, whose sum is σ = 103688663500800. Its totient is φ = 5141481246720.

The previous prime is 25769961071383. The next prime is 25769961071401. The reversal of 25769961071400 is 417016996752.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (25769961071401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 567435094 + ... + 567480506.

It is an arithmetic number, because the mean of its divisors is an integer number (135011280600).

Almost surely, 2^{25769961071400} is an apocalyptic number.

25769961071400 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 25769961071400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51844331750400).

25769961071400 is an abundant number, since it is smaller than the sum of its proper divisors (77918702429400).

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

25769961071400 is a wasteful number, since it uses less digits than its factorization.

25769961071400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46018 (or 46009 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 57.

The spelling of 25769961071400 in words is "twenty-five trillion, seven hundred sixty-nine billion, nine hundred sixty-one million, seventy-one thousand, four hundred".