27202121856 has 576 divisors, whose sum is σ = 103275244800. Its totient is φ = 6793113600.

The previous prime is 27202121777. The next prime is 27202121857. The reversal of 27202121856 is 65812120272.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 27202121856.

It is not an unprimeable number, because it can be changed into a prime (27202121857) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13941681 + ... + 13943631.

It is an arithmetic number, because the mean of its divisors is an integer number (179297300).

Almost surely, 2^27202121856 is an apocalyptic number.

27202121856 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 27202121856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51637622400).

27202121856 is an abundant number, since it is smaller than the sum of its proper divisors (76073122944).

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

27202121856 is a wasteful number, since it uses less digits than its factorization.

27202121856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2017 (or 1995 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 27202121856 in words is "twenty-seven billion, two hundred two million, one hundred twenty-one thousand, eight hundred fifty-six".