10712858155200 has 252 divisors, whose sum is σ = 38096029099128. Its totient is φ = 2855261491200.

The previous prime is 10712858155199. The next prime is 10712858155217. The reversal of 10712858155200 is 255185821701.

It is a happy number.

10712858155200 is a `hidden beast` number, since 1 + 0 + 7 + 12 + 8 + 5 + 81 + 552 + 0 + 0 = 666.

It is a super-2 number, since 2×10712858155200² (a number of 27 digits) contains 22 as substring.

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

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 35 ways as a sum of consecutive naturals, for example, 27352755 + ... + 27741645.

Almost surely, 2^{10712858155200} is an apocalyptic number.

10712858155200 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 10712858155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19048014549564).

10712858155200 is an abundant number, since it is smaller than the sum of its proper divisors (27383170943928).

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

10712858155200 is a wasteful number, since it uses less digits than its factorization.

10712858155200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390832 (or 390814 counting only the distinct ones).

The product of its (nonzero) digits is 224000, while the sum is 45.

The spelling of 10712858155200 in words is "ten trillion, seven hundred twelve billion, eight hundred fifty-eight million, one hundred fifty-five thousand, two hundred".