26106513619200 has 864 divisors, whose sum is σ = 99693369216000. Its totient is φ = 5893232885760.

The previous prime is 26106513619181. The next prime is 26106513619261. The reversal of 26106513619200 is 291631560162.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3584578759 + ... + 3584586041.

It is an arithmetic number, because the mean of its divisors is an integer number (115385844000).

Almost surely, 2^{26106513619200} is an apocalyptic number.

26106513619200 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 26106513619200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49846684608000).

26106513619200 is an abundant number, since it is smaller than the sum of its proper divisors (73586855596800).

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

26106513619200 is a wasteful number, since it uses less digits than its factorization.

26106513619200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7647 (or 7628 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 26106513619200 in words is "twenty-six trillion, one hundred six billion, five hundred thirteen million, six hundred nineteen thousand, two hundred".