1162726401600 has 336 divisors, whose sum is σ = 4461654068800. Its totient is φ = 293741199360.

The previous prime is 1162726401589. The next prime is 1162726401637. The reversal of 1162726401600 is 61046272611.

1162726401600 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 7 + 2 + 6 + 40 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112512 + ... + 1529088.

Almost surely, 2^{1162726401600} is an apocalyptic number.

1162726401600 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 1162726401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2230827034400).

1162726401600 is an abundant number, since it is smaller than the sum of its proper divisors (3298927667200).

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

1162726401600 is a wasteful number, since it uses less digits than its factorization.

1162726401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416627 (or 1416606 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 1162726401600 in words is "one trillion, one hundred sixty-two billion, seven hundred twenty-six million, four hundred one thousand, six hundred".