27020059033968 has 720 divisors, whose sum is σ = 106088107926528. Its totient is φ = 6478325568000.

The previous prime is 27020059033967. The next prime is 27020059033991. The reversal of 27020059033968 is 86933095002072.

It is a happy number.

27020059033968 is a `hidden beast` number, since 27 + 0 + 20 + 0 + 590 + 3 + 3 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27020059033967) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42495193 + ... + 43126343.

Almost surely, 2^{27020059033968} is an apocalyptic number.

27020059033968 is a gapful number since it is divisible by the number (28) 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 27020059033968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53044053963264).

27020059033968 is an abundant number, since it is smaller than the sum of its proper divisors (79068048892560).

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

27020059033968 is a wasteful number, since it uses less digits than its factorization.

27020059033968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631216 (or 631187 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 27020059033968 in words is "twenty-seven trillion, twenty billion, fifty-nine million, thirty-three thousand, nine hundred sixty-eight".