1092147248400 has 960 divisors, whose sum is σ = 4058342916096. Its totient is φ = 249080832000.

The previous prime is 1092147248399. The next prime is 1092147248429. The reversal of 1092147248400 is 48427412901.

It is a super-2 number, since 2×1092147248400² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1198843945 + ... + 1198844855.

Almost surely, 2^{1092147248400} is an apocalyptic number.

1092147248400 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 1092147248400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2029171458048).

1092147248400 is an abundant number, since it is smaller than the sum of its proper divisors (2966195667696).

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

1092147248400 is a wasteful number, since it uses less digits than its factorization.

1092147248400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 1092147248400 in words is "one trillion, ninety-two billion, one hundred forty-seven million, two hundred forty-eight thousand, four hundred".