26840047365120 has 1408 divisors, whose sum is σ = 98921612869632. Its totient is φ = 6152100249600.

The previous prime is 26840047365107. The next prime is 26840047365127. The reversal of 26840047365120 is 2156374004862.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×26840047365120² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 26840047365120.

It is not an unprimeable number, because it can be changed into a prime (26840047365127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46516546272 + ... + 46516546848.

Almost surely, 2^{26840047365120} is an apocalyptic number.

26840047365120 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 26840047365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49460806434816).

26840047365120 is an abundant number, since it is smaller than the sum of its proper divisors (72081565504512).

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

26840047365120 is a wasteful number, since it uses less digits than its factorization.

26840047365120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 26840047365120 in words is "twenty-six trillion, eight hundred forty billion, forty-seven million, three hundred sixty-five thousand, one hundred twenty".