27121988400 has 120 divisors (see below), whose sum is σ = 93563959440. Its totient is φ = 6676177920.

The previous prime is 27121988371. The next prime is 27121988407. The reversal of 27121988400 is 488912172.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (27121988407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 853695 + ... + 884894.

It is an arithmetic number, because the mean of its divisors is an integer number (779699662).

Almost surely, 2^27121988400 is an apocalyptic number.

27121988400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27121988400 is an abundant number, since it is smaller than the sum of its proper divisors (66441971040).

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

27121988400 is a wasteful number, since it uses less digits than its factorization.

27121988400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1738623 (or 1738612 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The spelling of 27121988400 in words is "twenty-seven billion, one hundred twenty-one million, nine hundred eighty-eight thousand, four hundred".