1187549484900 has 288 divisors, whose sum is σ = 3714962227200. Its totient is φ = 292035955200.

The previous prime is 1187549484841. The next prime is 1187549484907. The reversal of 1187549484900 is 94849457811.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (1187549484907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57528781 + ... + 57549419.

It is an arithmetic number, because the mean of its divisors is an integer number (12899174400).

Almost surely, 2^{1187549484900} is an apocalyptic number.

1187549484900 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 1187549484900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857481113600).

1187549484900 is an abundant number, since it is smaller than the sum of its proper divisors (2527412742300).

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

1187549484900 is a wasteful number, since it uses less digits than its factorization.

1187549484900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20979 (or 20972 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 60.

The spelling of 1187549484900 in words is "one trillion, one hundred eighty-seven billion, five hundred forty-nine million, four hundred eighty-four thousand, nine hundred".