27572400000 has 960 divisors, whose sum is σ = 109913902560. Its totient is φ = 6842880000.

The previous prime is 27572399999. The next prime is 27572400007. The reversal of 27572400000 is 427572.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27572400007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 745199982 + ... + 745200018.

Almost surely, 2^27572400000 is an apocalyptic number.

27572400000 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 27572400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54956951280).

27572400000 is an abundant number, since it is smaller than the sum of its proper divisors (82341502560).

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

27572400000 is an frugal number, since it uses more digits than its factorization.

27572400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

Adding to 27572400000 its reverse (427572), we get a palindrome (27572827572).

The spelling of 27572400000 in words is "twenty-seven billion, five hundred seventy-two million, four hundred thousand".