26975033307040 has 384 divisors, whose sum is σ = 83091915486720. Its totient is φ = 8030808834048.

The previous prime is 26975033307007. The next prime is 26975033307107. The reversal of 26975033307040 is 4070333057962.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 495755356 + ... + 495809764.

It is an arithmetic number, because the mean of its divisors is an integer number (216385196580).

Almost surely, 2^{26975033307040} is an apocalyptic number.

26975033307040 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 26975033307040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41545957743360).

26975033307040 is an abundant number, since it is smaller than the sum of its proper divisors (56116882179680).

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

26975033307040 is a wasteful number, since it uses less digits than its factorization.

26975033307040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56464 (or 56456 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 49.

The spelling of 26975033307040 in words is "twenty-six trillion, nine hundred seventy-five billion, thirty-three million, three hundred seven thousand, forty".