26894781345960 has 192 divisors, whose sum is σ = 95763473657280. Its totient is φ = 6491964165120.

The previous prime is 26894781345917. The next prime is 26894781345967. The reversal of 26894781345960 is 6954318749862.

26894781345960 is a `hidden beast` number, since 2 + 6 + 8 + 94 + 7 + 81 + 3 + 459 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (26894781345967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13651594 + ... + 15496953.

It is an arithmetic number, because the mean of its divisors is an integer number (498768091965).

It is a 1-persistent number, because it is pandigital, but 2⋅26894781345960 = 53789562691920 is not.

Almost surely, 2^{26894781345960} is an apocalyptic number.

26894781345960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26894781345960 is an abundant number, since it is smaller than the sum of its proper divisors (68868692311320).

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

26894781345960 is a wasteful number, since it uses less digits than its factorization.

26894781345960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29148808 (or 29148801 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 26894781345960 in words is "twenty-six trillion, eight hundred ninety-four billion, seven hundred eighty-one million, three hundred forty-five thousand, nine hundred sixty".