26493834240 has 352 divisors, whose sum is σ = 96365554560. Its totient is φ = 6899171328.

The previous prime is 26493834233. The next prime is 26493834277. The reversal of 26493834240 is 4243839462.

26493834240 is a `hidden beast` number, since 2 + 6 + 493 + 83 + 42 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5942092 + ... + 5946548.

It is an arithmetic number, because the mean of its divisors is an integer number (273765780).

Almost surely, 2^26493834240 is an apocalyptic number.

26493834240 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 26493834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48182777280).

26493834240 is an abundant number, since it is smaller than the sum of its proper divisors (69871720320).

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

26493834240 is a wasteful number, since it uses less digits than its factorization.

26493834240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4534 (or 4510 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 26493834240 in words is "twenty-six billion, four hundred ninety-three million, eight hundred thirty-four thousand, two hundred forty".