151988971680000 has 4320 divisors, whose sum is σ = 709564130795520. Its totient is φ = 30400634880000.

The previous prime is 151988971679981. The next prime is 151988971680019. The reversal of 151988971680000 is 86179889151.

It is an interprime number because it is at equal distance from previous prime (151988971679981) and next prime (151988971680019).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 151988971680000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 635937119881 + ... + 635937120119.

Almost surely, 2^{151988971680000} is an apocalyptic number.

151988971680000 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 151988971680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354782065397760).

151988971680000 is an abundant number, since it is smaller than the sum of its proper divisors (557575159115520).

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

151988971680000 is a wasteful number, since it uses less digits than its factorization.

151988971680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 63.

The spelling of 151988971680000 in words is "one hundred fifty-one trillion, nine hundred eighty-eight billion, nine hundred seventy-one million, six hundred eighty thousand".