1198506624000 has 1408 divisors, whose sum is σ = 4957258874880. Its totient is φ = 250822656000.

The previous prime is 1198506623983. The next prime is 1198506624011. The reversal of 1198506624000 is 4266058911.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1583231622 + ... + 1583232378.

Almost surely, 2^{1198506624000} is an apocalyptic number.

1198506624000 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 1198506624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478629437440).

1198506624000 is an abundant number, since it is smaller than the sum of its proper divisors (3758752250880).

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

1198506624000 is a wasteful number, since it uses less digits than its factorization.

1198506624000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 1198506624000 in words is "one trillion, one hundred ninety-eight billion, five hundred six million, six hundred twenty-four thousand".