1083961958400 has 1008 divisors, whose sum is σ = 4206066044544. Its totient is φ = 276196884480.

The previous prime is 1083961958393. The next prime is 1083961958483. The reversal of 1083961958400 is 48591693801.

1083961958400 is a `hidden beast` number, since 10 + 8 + 3 + 9 + 619 + 5 + 8 + 4 + 0 + 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 71 ways as a sum of consecutive naturals, for example, 1144626727 + ... + 1144627673.

It is an arithmetic number, because the mean of its divisors is an integer number (4172684568).

Almost surely, 2^{1083961958400} is an apocalyptic number.

1083961958400 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 1083961958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103033022272).

1083961958400 is an abundant number, since it is smaller than the sum of its proper divisors (3122104086144).

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

1083961958400 is an frugal number, since it uses more digits than its factorization.

1083961958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 1083961958400 in words is "one trillion, eighty-three billion, nine hundred sixty-one million, nine hundred fifty-eight thousand, four hundred".