26715121920 has 720 divisors, whose sum is σ = 105775528320. Its totient is φ = 6403719168.

The previous prime is 26715121891. The next prime is 26715121963. The reversal of 26715121920 is 2912151762.

It is a tau number, because it is divible by the number of its divisors (720).

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

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, 40538551 + ... + 40539209.

It is an arithmetic number, because the mean of its divisors is an integer number (146910456).

Almost surely, 2^26715121920 is an apocalyptic number.

26715121920 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 26715121920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52887764160).

26715121920 is an abundant number, since it is smaller than the sum of its proper divisors (79060406400).

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

26715121920 is a wasteful number, since it uses less digits than its factorization.

26715121920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 26715121920 in words is "twenty-six billion, seven hundred fifteen million, one hundred twenty-one thousand, nine hundred twenty".