151805998800000 has 768 divisors, whose sum is σ = 560439148348800. Its totient is φ = 40450752000000.

The previous prime is 151805998799909. The next prime is 151805998800011. The reversal of 151805998800000 is 8899508151.

It is a super-2 number, since 2×151805998800000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 151805998800000.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16534795410 + ... + 16534804590.

Almost surely, 2^{151805998800000} is an apocalyptic number.

151805998800000 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 151805998800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280219574174400).

151805998800000 is an abundant number, since it is smaller than the sum of its proper divisors (408633149548800).

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

151805998800000 is an frugal number, since it uses more digits than its factorization.

151805998800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10760 (or 10722 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 54.

The spelling of 151805998800000 in words is "one hundred fifty-one trillion, eight hundred five billion, nine hundred ninety-eight million, eight hundred thousand".