1099520016400 has 405 divisors, whose sum is σ = 2967043938831. Its totient is φ = 391380387840.

The previous prime is 1099520016383. The next prime is 1099520016473. The reversal of 1099520016400 is 46100259901.

The square root of 1099520016400 is 1048580.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 40 ways, for example, as 1082407190544 + 17112825856 = 1040388^2 + 130816^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1099520016400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 10087339546 + ... + 10087339654.

Almost surely, 2^{1099520016400} is an apocalyptic number.

1099520016400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1099520016400 is the 1048580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1099520016400

1099520016400 is an abundant number, since it is smaller than the sum of its proper divisors (1867523922431).

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

1099520016400 is a wasteful number, since it uses less digits than its factorization.

1099520016400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 37.

The spelling of 1099520016400 in words is "one trillion, ninety-nine billion, five hundred twenty million, sixteen thousand, four hundred".