27039890760900 has 144 divisors (see below), whose sum is σ = 79980667576320. Its totient is φ = 7050094761600.

The previous prime is 27039890760877. The next prime is 27039890760907. The reversal of 27039890760900 is 906709893072.

It is a super-2 number, since 2×27039890760900² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (27039890760907) 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, 13005531 + ... + 14940669.

Almost surely, 2^{27039890760900} is an apocalyptic number.

27039890760900 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 27039890760900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39990333788160).

27039890760900 is an abundant number, since it is smaller than the sum of its proper divisors (52940776815420).

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

27039890760900 is a wasteful number, since it uses less digits than its factorization.

27039890760900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936194 (or 1936187 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 60.

The spelling of 27039890760900 in words is "twenty-seven trillion, thirty-nine billion, eight hundred ninety million, seven hundred sixty thousand, nine hundred".