1046157587200 has 432 divisors, whose sum is σ = 3047586879456. Its totient is φ = 351266406400.

The previous prime is 1046157587197. The next prime is 1046157587207. The reversal of 1046157587200 is 27857516401.

It is a super-2 number, since 2×1046157587200² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1046157587207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63422154 + ... + 63438646.

It is an arithmetic number, because the mean of its divisors is an integer number (7054599258).

Almost surely, 2^{1046157587200} is an apocalyptic number.

1046157587200 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 1046157587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523793439728).

1046157587200 is an abundant number, since it is smaller than the sum of its proper divisors (2001429292256).

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

1046157587200 is a wasteful number, since it uses less digits than its factorization.

1046157587200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16600 (or 16581 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 46.

The spelling of 1046157587200 in words is "one trillion, forty-six billion, one hundred fifty-seven million, five hundred eighty-seven thousand, two hundred".