151580968488768 has 1344 divisors, whose sum is σ = 547289415106560. Its totient is φ = 36588058214400.

The previous prime is 151580968488743. The next prime is 151580968488787. The reversal of 151580968488768 is 867884869085151.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7761035163 + ... + 7761054693.

It is an arithmetic number, because the mean of its divisors is an integer number (407209386240).

Almost surely, 2^{151580968488768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151580968488768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273644707553280).

151580968488768 is an abundant number, since it is smaller than the sum of its proper divisors (395708446617792).

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

151580968488768 is a wasteful number, since it uses less digits than its factorization.

151580968488768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19716 (or 19699 counting only the distinct ones).

The product of its (nonzero) digits is 7431782400, while the sum is 84.

The spelling of 151580968488768 in words is "one hundred fifty-one trillion, five hundred eighty billion, nine hundred sixty-eight million, four hundred eighty-eight thousand, seven hundred sixty-eight".