26420252544000 has 704 divisors, whose sum is σ = 111598410193920. Its totient is φ = 6038909337600.

The previous prime is 26420252543989. The next prime is 26420252544011. The reversal of 26420252544000 is 44525202462.

26420252544000 is a `hidden beast` number, since 2 + 6 + 4 + 202 + 5 + 2 + 5 + 440 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26420252543989) and next prime (26420252544011).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23645947 + ... + 24738053.

Almost surely, 2^{26420252544000} is an apocalyptic number.

26420252544000 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 26420252544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55799205096960).

26420252544000 is an abundant number, since it is smaller than the sum of its proper divisors (85178157649920).

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

26420252544000 is a wasteful number, since it uses less digits than its factorization.

26420252544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092158 (or 1092124 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 26420252544000 its reverse (44525202462), we get a palindrome (26464777746462).

The spelling of 26420252544000 in words is "twenty-six trillion, four hundred twenty billion, two hundred fifty-two million, five hundred forty-four thousand".