1953512408640 has 448 divisors, whose sum is σ = 7115846169600. Its totient is φ = 450062770176.

The previous prime is 1953512408593. The next prime is 1953512408651. The reversal of 1953512408640 is 468042153591.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1953512408640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19631331 + ... + 19730589.

It is an arithmetic number, because the mean of its divisors is an integer number (15883585200).

Almost surely, 2^{1953512408640} is an apocalyptic number.

1953512408640 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 1953512408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3557923084800).

1953512408640 is an abundant number, since it is smaller than the sum of its proper divisors (5162333760960).

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

1953512408640 is a wasteful number, since it uses less digits than its factorization.

1953512408640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99394 (or 99384 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 1953512408640 in words is "one trillion, nine hundred fifty-three billion, five hundred twelve million, four hundred eight thousand, six hundred forty".