151601027760 has 640 divisors, whose sum is σ = 647851868160. Its totient is φ = 31729065984.

The previous prime is 151601027749. The next prime is 151601027779. The reversal of 151601027760 is 67720106151.

151601027760 is a `hidden beast` number, since 1 + 516 + 0 + 10 + 2 + 77 + 60 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24960084 + ... + 24966156.

It is an arithmetic number, because the mean of its divisors is an integer number (1012268544).

Almost surely, 2^151601027760 is an apocalyptic number.

151601027760 is a gapful number since it is divisible by the number (10) 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 151601027760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323925934080).

151601027760 is an abundant number, since it is smaller than the sum of its proper divisors (496250840400).

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

151601027760 is a wasteful number, since it uses less digits than its factorization.

151601027760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6242 (or 6230 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 151601027760 in words is "one hundred fifty-one billion, six hundred one million, twenty-seven thousand, seven hundred sixty".