26494715520 has 1536 divisors, whose sum is σ = 123070752000. Its totient is φ = 5332303872.

The previous prime is 26494715503. The next prime is 26494715531. The reversal of 26494715520 is 2551749462.

26494715520 is a `hidden beast` number, since 2 + 6 + 4 + 94 + 7 + 1 + 552 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 319213399 + ... + 319213481.

Almost surely, 2^26494715520 is an apocalyptic number.

26494715520 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 26494715520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61535376000).

26494715520 is an abundant number, since it is smaller than the sum of its proper divisors (96576036480).

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

26494715520 is a wasteful number, since it uses less digits than its factorization.

26494715520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 26494715520 in words is "twenty-six billion, four hundred ninety-four million, seven hundred fifteen thousand, five hundred twenty".