1058761199232 has 768 divisors, whose sum is σ = 3507748208640. Its totient is φ = 303630336000.

The previous prime is 1058761199107. The next prime is 1058761199267. The reversal of 1058761199232 is 2329911678501.

It is a happy number.

1058761199232 is a `hidden beast` number, since 10 + 5 + 8 + 7 + 611 + 9 + 9 + 2 + 3 + 2 = 666.

It is a super-2 number, since 2×1058761199232² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5543252257 + ... + 5543252447.

It is an arithmetic number, because the mean of its divisors is an integer number (4567380480).

Almost surely, 2^{1058761199232} is an apocalyptic number.

1058761199232 is a gapful number since it is divisible by the number (12) 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 1058761199232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753874104320).

1058761199232 is an abundant number, since it is smaller than the sum of its proper divisors (2448987009408).

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

1058761199232 is a wasteful number, since it uses less digits than its factorization.

1058761199232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 1058761199232 in words is "one trillion, fifty-eight billion, seven hundred sixty-one million, one hundred ninety-nine thousand, two hundred thirty-two".