27698651136 has 560 divisors, whose sum is σ = 94359526800. Its totient is φ = 8074100736.

The previous prime is 27698651131. The next prime is 27698651147. The reversal of 27698651136 is 63115689672.

27698651136 is a `hidden beast` number, since 2 + 7 + 6 + 98 + 6 + 511 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3265920) is a multiple of the sum of its prime factors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27698651131) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1457823735 + ... + 1457823753.

It is an arithmetic number, because the mean of its divisors is an integer number (168499155).

Almost surely, 2^27698651136 is an apocalyptic number.

27698651136 is a gapful number since it is divisible by the number (26) 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 27698651136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47179763400).

27698651136 is an abundant number, since it is smaller than the sum of its proper divisors (66660875664).

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

27698651136 is an frugal number, since it uses more digits than its factorization.

27698651136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 37 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 27698651136 in words is "twenty-seven billion, six hundred ninety-eight million, six hundred fifty-one thousand, one hundred thirty-six".