1158007219600 has 1080 divisors, whose sum is σ = 3869973139200. Its totient is φ = 330511104000.

The previous prime is 1158007219583. The next prime is 1158007219627. The reversal of 1158007219600 is 69127008511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1396871986 + ... + 1396872814.

Almost surely, 2^{1158007219600} is an apocalyptic number.

1158007219600 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 1158007219600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934986569600).

1158007219600 is an abundant number, since it is smaller than the sum of its proper divisors (2711965919600).

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

1158007219600 is a wasteful number, since it uses less digits than its factorization.

1158007219600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 40.

The spelling of 1158007219600 in words is "one trillion, one hundred fifty-eight billion, seven million, two hundred nineteen thousand, six hundred".