26051456100 has 144 divisors (see below), whose sum is σ = 77103065088. Its totient is φ = 6788319360.

The previous prime is 26051456099. The next prime is 26051456191. The reversal of 26051456100 is 165415062.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12505659 + ... + 12507741.

It is an arithmetic number, because the mean of its divisors is an integer number (535437952).

Almost surely, 2^26051456100 is an apocalyptic number.

26051456100 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 26051456100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38551532544).

26051456100 is an abundant number, since it is smaller than the sum of its proper divisors (51051608988).

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

26051456100 is a wasteful number, since it uses less digits than its factorization.

26051456100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3034 (or 3027 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 26051456100 in words is "twenty-six billion, fifty-one million, four hundred fifty-six thousand, one hundred".