10112761612800 has 4800 divisors, whose sum is σ = 50394138854400. Its totient is φ = 1939695206400.

The previous prime is 10112761612777. The next prime is 10112761612847. The reversal of 10112761612800 is 821616721101.

10112761612800 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 27 + 616 + 12 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

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 479 ways as a sum of consecutive naturals, for example, 89493465544 + ... + 89493465656.

It is an arithmetic number, because the mean of its divisors is an integer number (10498778928).

Almost surely, 2^{10112761612800} is an apocalyptic number.

10112761612800 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 10112761612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25197069427200).

10112761612800 is an abundant number, since it is smaller than the sum of its proper divisors (40281377241600).

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

10112761612800 is a wasteful number, since it uses less digits than its factorization.

10112761612800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 10112761612800 in words is "ten trillion, one hundred twelve billion, seven hundred sixty-one million, six hundred twelve thousand, eight hundred".