1953163860480 has 2560 divisors, whose sum is σ = 8787494707200. Its totient is φ = 406332702720.

The previous prime is 1953163860469. The next prime is 1953163860623. The reversal of 1953163860480 is 840683613591.

1953163860480 is a `hidden beast` number, since 1 + 9 + 531 + 6 + 3 + 8 + 60 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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 255 ways as a sum of consecutive naturals, for example, 32019079650 + ... + 32019079710.

It is an arithmetic number, because the mean of its divisors is an integer number (3432615120).

Almost surely, 2^{1953163860480} is an apocalyptic number.

1953163860480 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 1953163860480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4393747353600).

1953163860480 is an abundant number, since it is smaller than the sum of its proper divisors (6834330846720).

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

1953163860480 is an frugal number, since it uses more digits than its factorization.

1953163860480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 1953163860480 in words is "one trillion, nine hundred fifty-three billion, one hundred sixty-three million, eight hundred sixty thousand, four hundred eighty".