26151491520 has 560 divisors, whose sum is σ = 115988640768. Its totient is φ = 5433661440.

The previous prime is 26151491519. The next prime is 26151491549. The reversal of 26151491520 is 2519415162.

26151491520 is a `hidden beast` number, since 2 + 6 + 1 + 514 + 91 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1989289 + ... + 2002391.

Almost surely, 2^26151491520 is an apocalyptic number.

26151491520 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 26151491520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57994320384).

26151491520 is an abundant number, since it is smaller than the sum of its proper divisors (89837149248).

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

26151491520 is a wasteful number, since it uses less digits than its factorization.

26151491520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13150 (or 13131 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 26151491520 in words is "twenty-six billion, one hundred fifty-one million, four hundred ninety-one thousand, five hundred twenty".