1083553873920 has 880 divisors, whose sum is σ = 4458020806800. Its totient is φ = 247669456896.

The previous prime is 1083553873837. The next prime is 1083553873949. The reversal of 1083553873920 is 293783553801.

It is a Jordan-Polya number, since it can be written as 9! ⋅ (4!)³ ⋅ (3!)³.

1083553873920 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 553 + 87 + 3 + 9 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 154793410557 + ... + 154793410563.

It is an arithmetic number, because the mean of its divisors is an integer number (5065932735).

Almost surely, 2^{1083553873920} is an apocalyptic number.

1083553873920 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 1083553873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2229010403400).

1083553873920 is an abundant number, since it is smaller than the sum of its proper divisors (3374466932880).

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

1083553873920 is an frugal number, since it uses more digits than its factorization.

1083553873920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 1083553873920 in words is "one trillion, eighty-three billion, five hundred fifty-three million, eight hundred seventy-three thousand, nine hundred twenty".