26420653061250 has 240 divisors, whose sum is σ = 77240193101280. Its totient is φ = 6005261472000.

The previous prime is 26420653061221. The next prime is 26420653061251. The reversal of 26420653061250 is 5216035602462.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (26420653061251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 32489614 + ... + 33292886.

It is an arithmetic number, because the mean of its divisors is an integer number (321834137922).

Almost surely, 2^{26420653061250} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26420653061250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38620096550640).

26420653061250 is an abundant number, since it is smaller than the sum of its proper divisors (50819540040030).

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

26420653061250 is a wasteful number, since it uses less digits than its factorization.

26420653061250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803491 (or 803469 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 26420653061250 in words is "twenty-six trillion, four hundred twenty billion, six hundred fifty-three million, sixty-one thousand, two hundred fifty".