26993434036380 has 384 divisors, whose sum is σ = 91447792128000. Its totient is φ = 5819364311040.

The previous prime is 26993434036313. The next prime is 26993434036381. The reversal of 26993434036380 is 8363043439962.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26993434036381) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 94117836 + ... + 94404204.

It is an arithmetic number, because the mean of its divisors is an integer number (238145292000).

Almost surely, 2^{26993434036380} is an apocalyptic number.

26993434036380 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 26993434036380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45723896064000).

26993434036380 is an abundant number, since it is smaller than the sum of its proper divisors (64454358091620).

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

26993434036380 is a wasteful number, since it uses less digits than its factorization.

26993434036380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286597 (or 286595 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 60.

The spelling of 26993434036380 in words is "twenty-six trillion, nine hundred ninety-three billion, four hundred thirty-four million, thirty-six thousand, three hundred eighty".