26077027031000 has 512 divisors, whose sum is σ = 68852330726400. Its totient is φ = 9163962880000.

The previous prime is 26077027030969. The next prime is 26077027031087. The reversal of 26077027031000 is 13072077062.

It is a super-2 number, since 2×26077027031000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9513689630 + ... + 9513692370.

It is an arithmetic number, because the mean of its divisors is an integer number (134477208450).

Almost surely, 2^{26077027031000} is an apocalyptic number.

26077027031000 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 26077027031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34426165363200).

26077027031000 is an abundant number, since it is smaller than the sum of its proper divisors (42775303695400).

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

26077027031000 is a wasteful number, since it uses less digits than its factorization.

26077027031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3076 (or 3062 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 35.

The spelling of 26077027031000 in words is "twenty-six trillion, seventy-seven billion, twenty-seven million, thirty-one thousand".