26770135040 has 192 divisors, whose sum is σ = 71714522880. Its totient is φ = 9506488320.

The previous prime is 26770135039. The next prime is 26770135079. The reversal of 26770135040 is 4053107762.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4840757 + ... + 4846283.

It is an arithmetic number, because the mean of its divisors is an integer number (373513140).

Almost surely, 2^26770135040 is an apocalyptic number.

26770135040 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 26770135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35857261440).

26770135040 is an abundant number, since it is smaller than the sum of its proper divisors (44944387840).

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

26770135040 is a wasteful number, since it uses less digits than its factorization.

26770135040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5608 (or 5588 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The spelling of 26770135040 in words is "twenty-six billion, seven hundred seventy million, one hundred thirty-five thousand, forty".