27930424536000 has 3360 divisors, whose sum is σ = 128597802727680. Its totient is φ = 5949199872000.

The previous prime is 27930424535999. The next prime is 27930424536013. The reversal of 27930424536000 is 63542403972.

27930424536000 is a `hidden beast` number, since 2 + 7 + 9 + 30 + 4 + 2 + 4 + 5 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×27930424536000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 40420295655 + ... + 40420296345.

Almost surely, 2^{27930424536000} is an apocalyptic number.

27930424536000 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 27930424536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64298901363840).

27930424536000 is an abundant number, since it is smaller than the sum of its proper divisors (100667378191680).

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

27930424536000 is a wasteful number, since it uses less digits than its factorization.

27930424536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

Adding to 27930424536000 its reverse (63542403972), we get a palindrome (27993966939972).

The spelling of 27930424536000 in words is "twenty-seven trillion, nine hundred thirty billion, four hundred twenty-four million, five hundred thirty-six thousand".