26873434748160 has 4320 divisors, whose sum is σ = 133519487802624. Its totient is φ = 5072191488000.

The previous prime is 26873434748119. The next prime is 26873434748267. The reversal of 26873434748160 is 6184743437862.

26873434748160 is a `hidden beast` number, since 2 + 6 + 8 + 73 + 43 + 47 + 481 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-2 number, since 2×26873434748160² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 479 ways as a sum of consecutive naturals, for example, 51580488700 + ... + 51580489220.

Almost surely, 2^{26873434748160} is an apocalyptic number.

26873434748160 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 26873434748160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66759743901312).

26873434748160 is an abundant number, since it is smaller than the sum of its proper divisors (106646053054464).

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

26873434748160 is a wasteful number, since it uses less digits than its factorization.

26873434748160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 63.

The spelling of 26873434748160 in words is "twenty-six trillion, eight hundred seventy-three billion, four hundred thirty-four million, seven hundred forty-eight thousand, one hundred sixty".