10659450787200 has 768 divisors, whose sum is σ = 40779580416000. Its totient is φ = 2715951513600.

The previous prime is 10659450787189. The next prime is 10659450787211. The reversal of 10659450787200 is 278705495601.

10659450787200 is a `hidden beast` number, since 1 + 0 + 6 + 59 + 4 + 507 + 87 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10659450787189) and next prime (10659450787211).

It is a super-2 number, since 2×10659450787200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 211568412 + ... + 211618788.

It is an arithmetic number, because the mean of its divisors is an integer number (53098412000).

Almost surely, 2^{10659450787200} is an apocalyptic number.

10659450787200 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 10659450787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20389790208000).

10659450787200 is an abundant number, since it is smaller than the sum of its proper divisors (30120129628800).

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

10659450787200 is a wasteful number, since it uses less digits than its factorization.

10659450787200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50520 (or 50497 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 10659450787200 in words is "ten trillion, six hundred fifty-nine billion, four hundred fifty million, seven hundred eighty-seven thousand, two hundred".