26457250400 has 72 divisors (see below), whose sum is σ = 73815744240. Its totient is φ = 9071055360.

The previous prime is 26457250363. The next prime is 26457250403. The reversal of 26457250400 is 405275462.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26457250403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2356655 + ... + 2367854.

It is an arithmetic number, because the mean of its divisors is an integer number (1025218670).

Almost surely, 2^26457250400 is an apocalyptic number.

26457250400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26457250400 is an abundant number, since it is smaller than the sum of its proper divisors (47358493840).

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

26457250400 is a wasteful number, since it uses less digits than its factorization.

26457250400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4724536 (or 4724523 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 35.

The spelling of 26457250400 in words is "twenty-six billion, four hundred fifty-seven million, two hundred fifty thousand, four hundred".