26957540198400 has 432 divisors, whose sum is σ = 103667716872720. Its totient is φ = 6161721753600.

The previous prime is 26957540198387. The next prime is 26957540198419. The reversal of 26957540198400 is 489104575962.

It is a super-2 number, since 2×26957540198400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5735535 + ... + 9317265.

It is an arithmetic number, because the mean of its divisors is an integer number (239971566835).

Almost surely, 2^{26957540198400} is an apocalyptic number.

26957540198400 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 26957540198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51833858436360).

26957540198400 is an abundant number, since it is smaller than the sum of its proper divisors (76710176674320).

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

26957540198400 is a wasteful number, since it uses less digits than its factorization.

26957540198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3581780 (or 3581748 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 60.

The spelling of 26957540198400 in words is "twenty-six trillion, nine hundred fifty-seven billion, five hundred forty million, one hundred ninety-eight thousand, four hundred".