26225217701400 has 192 divisors, whose sum is σ = 82512485291520. Its totient is φ = 6889100108800.

The previous prime is 26225217701399. The next prime is 26225217701407. The reversal of 26225217701400 is 410771252262.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26225217701407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50563789 + ... + 51079811.

It is an arithmetic number, because the mean of its divisors is an integer number (429752527560).

Almost surely, 2^{26225217701400} is an apocalyptic number.

26225217701400 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 26225217701400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41256242645760).

26225217701400 is an abundant number, since it is smaller than the sum of its proper divisors (56287267590120).

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

26225217701400 is a wasteful number, since it uses less digits than its factorization.

26225217701400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517306 (or 517297 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

Adding to 26225217701400 its reverse (410771252262), we get a palindrome (26635988953662).

The spelling of 26225217701400 in words is "twenty-six trillion, two hundred twenty-five billion, two hundred seventeen million, seven hundred one thousand, four hundred".