26152943040 has 672 divisors, whose sum is σ = 111302231040. Its totient is φ = 5715173376.

The previous prime is 26152943027. The next prime is 26152943111. The reversal of 26152943040 is 4034925162.

It is a happy number.

26152943040 is a `hidden beast` number, since 2 + 61 + 5 + 294 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 26152942986 and 26152943004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12518316 + ... + 12520404.

It is an arithmetic number, because the mean of its divisors is an integer number (165628320).

Almost surely, 2^26152943040 is an apocalyptic number.

26152943040 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 26152943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55651115520).

26152943040 is an abundant number, since it is smaller than the sum of its proper divisors (85149288000).

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

26152943040 is a wasteful number, since it uses less digits than its factorization.

26152943040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 26152943040 in words is "twenty-six billion, one hundred fifty-two million, nine hundred forty-three thousand, forty".