27873826701336 has 384 divisors, whose sum is σ = 96236303155200. Its totient is φ = 7078897463040.

The previous prime is 27873826701313. The next prime is 27873826701341. The reversal of 27873826701336 is 63310762837872.

It is a happy number.

27873826701336 is a `hidden beast` number, since 2 + 7 + 8 + 7 + 38 + 267 + 0 + 1 + 336 = 666.

It is a super-2 number, since 2×27873826701336² (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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44802585 + ... + 45420471.

It is an arithmetic number, because the mean of its divisors is an integer number (250615372800).

Almost surely, 2^{27873826701336} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27873826701336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48118151577600).

27873826701336 is an abundant number, since it is smaller than the sum of its proper divisors (68362476453864).

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

27873826701336 is a wasteful number, since it uses less digits than its factorization.

27873826701336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618099 (or 618092 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 27873826701336 in words is "twenty-seven trillion, eight hundred seventy-three billion, eight hundred twenty-six million, seven hundred one thousand, three hundred thirty-six".