26252029440 has 960 divisors, whose sum is σ = 117967449600. Its totient is φ = 5239406592.

The previous prime is 26252029439. The next prime is 26252029471. The reversal of 26252029440 is 4492025262.

It is a happy number.

26252029440 is a `hidden beast` number, since 2 + 6 + 2 + 5 + 202 + 9 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 = 26252029395 and 26252029404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39835831 + ... + 39836489.

It is an arithmetic number, because the mean of its divisors is an integer number (122882760).

Almost surely, 2^26252029440 is an apocalyptic number.

26252029440 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 26252029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58983724800).

26252029440 is an abundant number, since it is smaller than the sum of its proper divisors (91715420160).

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

26252029440 is a wasteful number, since it uses less digits than its factorization.

26252029440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 26252029440 in words is "twenty-six billion, two hundred fifty-two million, twenty-nine thousand, four hundred forty".