26451560520 has 768 divisors, whose sum is σ = 111277670400. Its totient is φ = 5290721280.

The previous prime is 26451560519. The next prime is 26451560521. The reversal of 26451560520 is 2506515462.

26451560520 is a `hidden beast` number, since 2 + 6 + 45 + 1 + 5 + 605 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26451560519) and next prime (26451560521).

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

It is not an unprimeable number, because it can be changed into a prime (26451560521) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 102924232 + ... + 102924488.

It is an arithmetic number, because the mean of its divisors is an integer number (144892800).

Almost surely, 2^26451560520 is an apocalyptic number.

26451560520 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 26451560520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55638835200).

26451560520 is an abundant number, since it is smaller than the sum of its proper divisors (84826109880).

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

26451560520 is a wasteful number, since it uses less digits than its factorization.

26451560520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 26451560520 in words is "twenty-six billion, four hundred fifty-one million, five hundred sixty thousand, five hundred twenty".