27150641280 has 1152 divisors, whose sum is σ = 118089316800. Its totient is φ = 5713182720.

The previous prime is 27150641251. The next prime is 27150641291. The reversal of 27150641280 is 8214605172.

27150641280 is a `hidden beast` number, since 2 + 7 + 1 + 5 + 0 + 641 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 327116119 + ... + 327116201.

Almost surely, 2^27150641280 is an apocalyptic number.

27150641280 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 27150641280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59044658400).

27150641280 is an abundant number, since it is smaller than the sum of its proper divisors (90938675520).

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

27150641280 is a wasteful number, since it uses less digits than its factorization.

27150641280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 27150641280 in words is "twenty-seven billion, one hundred fifty million, six hundred forty-one thousand, two hundred eighty".