26100733680 has 400 divisors, whose sum is σ = 105311515584. Its totient is φ = 5867458560.

The previous prime is 26100733679. The next prime is 26100733697. The reversal of 26100733680 is 8633700162.

It is a happy number.

26100733680 is a `hidden beast` number, since 2 + 610 + 0 + 7 + 3 + 36 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2762244 + ... + 2771676.

Almost surely, 2^26100733680 is an apocalyptic number.

26100733680 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 26100733680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52655757792).

26100733680 is an abundant number, since it is smaller than the sum of its proper divisors (79210781904).

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

26100733680 is a wasteful number, since it uses less digits than its factorization.

26100733680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9526 (or 9511 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 26100733680 in words is "twenty-six billion, one hundred million, seven hundred thirty-three thousand, six hundred eighty".