26415789120 has 448 divisors, whose sum is σ = 110181542400. Its totient is φ = 5829304320.

The previous prime is 26415789079. The next prime is 26415789137. The reversal of 26415789120 is 2198751462.

26415789120 is a `hidden beast` number, since 2 + 64 + 1 + 578 + 9 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1746390 + ... + 1761450.

Almost surely, 2^26415789120 is an apocalyptic number.

26415789120 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 26415789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55090771200).

26415789120 is an abundant number, since it is smaller than the sum of its proper divisors (83765753280).

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

26415789120 is a wasteful number, since it uses less digits than its factorization.

26415789120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15123 (or 15107 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 26415789120 in words is "twenty-six billion, four hundred fifteen million, seven hundred eighty-nine thousand, one hundred twenty".