161510139330400 has 864 divisors, whose sum is σ = 493727551414272. Its totient is φ = 50501234688000.

The previous prime is 161510139330313. The next prime is 161510139330427. The reversal of 161510139330400 is 4033931015161.

161510139330400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 161510139330400.

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, 7682534289 + ... + 7682555311.

It is an arithmetic number, because the mean of its divisors is an integer number (571443925248).

Almost surely, 2^{161510139330400} is an apocalyptic number.

161510139330400 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 161510139330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246863775707136).

161510139330400 is an abundant number, since it is smaller than the sum of its proper divisors (332217412083872).

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

161510139330400 is a wasteful number, since it uses less digits than its factorization.

161510139330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21232 (or 21202 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The spelling of 161510139330400 in words is "one hundred sixty-one trillion, five hundred ten billion, one hundred thirty-nine million, three hundred thirty thousand, four hundred".