26732805503040 has 2688 divisors, whose sum is σ = 119672158814208. Its totient is φ = 5530639564800.

The previous prime is 26732805502939. The next prime is 26732805503059. The reversal of 26732805503040 is 4030550823762.

26732805503040 is a `hidden beast` number, since 2 + 6 + 7 + 3 + 28 + 0 + 550 + 30 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 135699520222 + ... + 135699520418.

It is an arithmetic number, because the mean of its divisors is an integer number (44520892416).

Almost surely, 2^{26732805503040} is an apocalyptic number.

26732805503040 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 26732805503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59836079407104).

26732805503040 is an abundant number, since it is smaller than the sum of its proper divisors (92939353311168).

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

26732805503040 is a wasteful number, since it uses less digits than its factorization.

26732805503040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 26732805503040 in words is "twenty-six trillion, seven hundred thirty-two billion, eight hundred five million, five hundred three thousand, forty".