1083619904400 has 540 divisors, whose sum is σ = 4275981358740. Its totient is φ = 253634304000.

The previous prime is 1083619904387. The next prime is 1083619904413. The reversal of 1083619904400 is 44099163801.

1083619904400 is a `hidden beast` number, since 10 + 8 + 3 + 6 + 199 + 0 + 440 + 0 = 666.

1083619904400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1083619904387) and next prime (1083619904413).

It can be written as a sum of positive squares in 6 ways, for example, as 16192053504 + 1067427850896 = 127248^2 + 1033164^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 12589510 + ... + 12675290.

Almost surely, 2^{1083619904400} is an apocalyptic number.

1083619904400 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 1083619904400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137990679370).

1083619904400 is an abundant number, since it is smaller than the sum of its proper divisors (3192361454340).

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

1083619904400 is a wasteful number, since it uses less digits than its factorization.

1083619904400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85856 (or 85831 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 1083619904400 in words is "one trillion, eighty-three billion, six hundred nineteen million, nine hundred four thousand, four hundred".