1151909029800 has 384 divisors, whose sum is σ = 4098937651200. Its totient is φ = 297030240000.

The previous prime is 1151909029727. The next prime is 1151909029837. The reversal of 1151909029800 is 89209091511.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 326595637 + ... + 326599163.

It is an arithmetic number, because the mean of its divisors is an integer number (10674316800).

Almost surely, 2^{1151909029800} is an apocalyptic number.

1151909029800 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 1151909029800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049468825600).

1151909029800 is an abundant number, since it is smaller than the sum of its proper divisors (2947028621400).

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

1151909029800 is a wasteful number, since it uses less digits than its factorization.

1151909029800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5534 (or 5519 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 45.

The spelling of 1151909029800 in words is "one trillion, one hundred fifty-one billion, nine hundred nine million, twenty-nine thousand, eight hundred".