26211522120 has 256 divisors, whose sum is σ = 92637388800. Its totient is φ = 5808983040.

The previous prime is 26211522107. The next prime is 26211522173. The reversal of 26211522120 is 2122511262.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4300275 + ... + 4306365.

It is an arithmetic number, because the mean of its divisors is an integer number (361864800).

Almost surely, 2^26211522120 is an apocalyptic number.

26211522120 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 26211522120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46318694400).

26211522120 is an abundant number, since it is smaller than the sum of its proper divisors (66425866680).

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

26211522120 is a wasteful number, since it uses less digits than its factorization.

26211522120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6268 (or 6264 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 26211522120 in words is "twenty-six billion, two hundred eleven million, five hundred twenty-two thousand, one hundred twenty".