26121139200000 has 4032 divisors, whose sum is σ = 117397159850880. Its totient is φ = 5733089280000.

The previous prime is 26121139199989. The next prime is 26121139200031. The reversal of 26121139200000 is 293112162.

26121139200000 is a `hidden beast` number, since 2 + 61 + 211 + 392 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1374796799991 + ... + 1374796800009.

It is an arithmetic number, because the mean of its divisors is an integer number (29116359090).

Almost surely, 2^{26121139200000} is an apocalyptic number.

26121139200000 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 26121139200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58698579925440).

26121139200000 is an abundant number, since it is smaller than the sum of its proper divisors (91276020650880).

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

26121139200000 is an frugal number, since it uses more digits than its factorization.

26121139200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 26121139200000 in words is "twenty-six trillion, one hundred twenty-one billion, one hundred thirty-nine million, two hundred thousand".