10359604387800 has 384 divisors, whose sum is σ = 39770624160000. Its totient is φ = 2463212021760.

The previous prime is 10359604387631. The next prime is 10359604387807. The reversal of 10359604387800 is 878340695301.

10359604387800 is a `hidden beast` number, since 1 + 0 + 3 + 596 + 0 + 43 + 8 + 7 + 8 + 0 + 0 = 666.

It is a super-6 number, since 6×10359604387800⁶ (a number of 79 digits) contains 666666 as substring. Note that it is a super-d number also for d = 3.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10359604387807) by changing a digit.

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, 1225530 + ... + 4713929.

It is an arithmetic number, because the mean of its divisors is an integer number (103569333750).

Almost surely, 2^{10359604387800} is an apocalyptic number.

10359604387800 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 10359604387800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19885312080000).

10359604387800 is an abundant number, since it is smaller than the sum of its proper divisors (29411019772200).

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

10359604387800 is a wasteful number, since it uses less digits than its factorization.

10359604387800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5939520 (or 5939505 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 10359604387800 in words is "ten trillion, three hundred fifty-nine billion, six hundred four million, three hundred eighty-seven thousand, eight hundred".