26138431200 has 432 divisors, whose sum is σ = 100534815360. Its totient is φ = 5778201600.

The previous prime is 26138431181. The next prime is 26138431217. The reversal of 26138431200 is 213483162.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16143991 + ... + 16145609.

It is an arithmetic number, because the mean of its divisors is an integer number (232719480).

Almost surely, 2^26138431200 is an apocalyptic number.

26138431200 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 26138431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50267407680).

26138431200 is an abundant number, since it is smaller than the sum of its proper divisors (74396384160).

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

26138431200 is a wasteful number, since it uses less digits than its factorization.

26138431200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 26138431200 in words is "twenty-six billion, one hundred thirty-eight million, four hundred thirty-one thousand, two hundred".