1955354204160 has 2304 divisors, whose sum is σ = 8585740800000. Its totient is φ = 426064084992.

The previous prime is 1955354204159. The next prime is 1955354204171. The reversal of 1955354204160 is 614024535591.

It is a happy number.

1955354204160 is a `hidden beast` number, since 1 + 9 + 5 + 5 + 3 + 542 + 0 + 41 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×1955354204160² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 24751319001 + ... + 24751319079.

It is an arithmetic number, because the mean of its divisors is an integer number (3726450000).

Almost surely, 2^{1955354204160} is an apocalyptic number.

1955354204160 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 1955354204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4292870400000).

1955354204160 is an abundant number, since it is smaller than the sum of its proper divisors (6630386595840).

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

1955354204160 is an frugal number, since it uses more digits than its factorization.

1955354204160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 1955354204160 in words is "one trillion, nine hundred fifty-five billion, three hundred fifty-four million, two hundred four thousand, one hundred sixty".