115724635540800 has 2688 divisors, whose sum is σ = 482424850833408. Its totient is φ = 23854252032000.

The previous prime is 115724635540793. The next prime is 115724635540823. The reversal of 115724635540800 is 8045536427511.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 261229425379 + ... + 261229425821.

It is an arithmetic number, because the mean of its divisors is an integer number (179473530816).

Almost surely, 2^{115724635540800} is an apocalyptic number.

115724635540800 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 115724635540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241212425416704).

115724635540800 is an abundant number, since it is smaller than the sum of its proper divisors (366700215292608).

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

115724635540800 is a wasteful number, since it uses less digits than its factorization.

115724635540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 51.

The spelling of 115724635540800 in words is "one hundred fifteen trillion, seven hundred twenty-four billion, six hundred thirty-five million, five hundred forty thousand, eight hundred".