27357382080 has 252 divisors, whose sum is σ = 109461498120. Its totient is φ = 6253083648.

The previous prime is 27357382051. The next prime is 27357382103. The reversal of 27357382080 is 8028375372.

27357382080 is a `hidden beast` number, since 2 + 73 + 573 + 8 + 2 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×27357382080² (a number of 22 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 35 ways as a sum of consecutive naturals, for example, 44191 + ... + 238049.

Almost surely, 2^27357382080 is an apocalyptic number.

27357382080 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 27357382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54730749060).

27357382080 is an abundant number, since it is smaller than the sum of its proper divisors (82104116040).

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

27357382080 is a wasteful number, since it uses less digits than its factorization.

27357382080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193896 (or 193876 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 27357382080 in words is "twenty-seven billion, three hundred fifty-seven million, three hundred eighty-two thousand, eighty".