1953594961920 has 1872 divisors, whose sum is σ = 8419305842688. Its totient is φ = 425681879040.

The previous prime is 1953594961919. The next prime is 1953594961991. The reversal of 1953594961920 is 291694953591.

1953594961920 is a `hidden beast` number, since 1 + 9 + 5 + 3 + 5 + 9 + 4 + 9 + 619 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 29158133727 + ... + 29158133793.

Almost surely, 2^{1953594961920} is an apocalyptic number.

1953594961920 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 1953594961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4209652921344).

1953594961920 is an abundant number, since it is smaller than the sum of its proper divisors (6465710880768).

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

1953594961920 is an frugal number, since it uses more digits than its factorization.

1953594961920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 23619600, while the sum is 63.

The spelling of 1953594961920 in words is "one trillion, nine hundred fifty-three billion, five hundred ninety-four million, nine hundred sixty-one thousand, nine hundred twenty".