26125322065920 has 4032 divisors, whose sum is σ = 122850713905920. Its totient is φ = 5267275776000.

The previous prime is 26125322065891. The next prime is 26125322065967. The reversal of 26125322065920 is 2956022352162.

26125322065920 is a `hidden beast` number, since 2 + 6 + 1 + 2 + 5 + 32 + 20 + 6 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 173015377845 + ... + 173015377995.

It is an arithmetic number, because the mean of its divisors is an integer number (30468927060).

Almost surely, 2^{26125322065920} is an apocalyptic number.

26125322065920 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 26125322065920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61425356952960).

26125322065920 is an abundant number, since it is smaller than the sum of its proper divisors (96725391840000).

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

26125322065920 is a wasteful number, since it uses less digits than its factorization.

26125322065920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 26125322065920 in words is "twenty-six trillion, one hundred twenty-five billion, three hundred twenty-two million, sixty-five thousand, nine hundred twenty".