26796101234400 has 864 divisors, whose sum is σ = 103362884352000. Its totient is φ = 6507048038400.

The previous prime is 26796101234393. The next prime is 26796101234443. The reversal of 26796101234400 is 443210169762.

26796101234400 is a `hidden beast` number, since 2 + 6 + 7 + 9 + 6 + 1 + 0 + 1 + 234 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 631857997 + ... + 631900403.

It is an arithmetic number, because the mean of its divisors is an integer number (119632968000).

Almost surely, 2^{26796101234400} is an apocalyptic number.

26796101234400 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 26796101234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51681442176000).

26796101234400 is an abundant number, since it is smaller than the sum of its proper divisors (76566783117600).

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

26796101234400 is a wasteful number, since it uses less digits than its factorization.

26796101234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42632 (or 42616 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 26796101234400 in words is "twenty-six trillion, seven hundred ninety-six billion, one hundred one million, two hundred thirty-four thousand, four hundred".