1151725726800 has 960 divisors, whose sum is σ = 4817268817920. Its totient is φ = 258432768000.

The previous prime is 1151725726793. The next prime is 1151725726843. The reversal of 1151725726800 is 86275271511.

1151725726800 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 72 + 572 + 6 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 84697602 + ... + 84711198.

It is an arithmetic number, because the mean of its divisors is an integer number (5017988352).

Almost surely, 2^{1151725726800} is an apocalyptic number.

1151725726800 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 1151725726800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2408634408960).

1151725726800 is an abundant number, since it is smaller than the sum of its proper divisors (3665543091120).

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

1151725726800 is a wasteful number, since it uses less digits than its factorization.

1151725726800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13689 (or 13672 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 45.

The spelling of 1151725726800 in words is "one trillion, one hundred fifty-one billion, seven hundred twenty-five million, seven hundred twenty-six thousand, eight hundred".