160098143846400 has 900 divisors, whose sum is σ = 596545796914452. Its totient is φ = 42444537200640.

The previous prime is 160098143846369. The next prime is 160098143846419. The reversal of 160098143846400 is 4648341890061.

160098143846400 is a `hidden beast` number, since 1 + 6 + 0 + 0 + 98 + 143 + 8 + 4 + 6 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 33992071593984 + 126106072252416 = 5830272^2 + 11229696^2 .

It is a tau number, because it is divible by the number of its divisors (900).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5739710854 + ... + 5739738746.

Almost surely, 2^{160098143846400} is an apocalyptic number.

160098143846400 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 160098143846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298272898457226).

160098143846400 is an abundant number, since it is smaller than the sum of its proper divisors (436447653068052).

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

160098143846400 is an equidigital number, since it uses as much as digits as its factorization.

160098143846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28116 (or 28076 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 160098143846400 in words is "one hundred sixty trillion, ninety-eight billion, one hundred forty-three million, eight hundred forty-six thousand, four hundred".