10356123536000 has 512 divisors, whose sum is σ = 28575220227840. Its totient is φ = 3700899840000.

The previous prime is 10356123535913. The next prime is 10356123536051. The reversal of 10356123536000 is 63532165301.

It is a super-3 number, since 3×10356123536000³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6992655260 + ... + 6992656740.

Almost surely, 2^{10356123536000} is an apocalyptic number.

10356123536000 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 10356123536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14287610113920).

10356123536000 is an abundant number, since it is smaller than the sum of its proper divisors (18219096691840).

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

10356123536000 is a wasteful number, since it uses less digits than its factorization.

10356123536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2181 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 35.

The spelling of 10356123536000 in words is "ten trillion, three hundred fifty-six billion, one hundred twenty-three million, five hundred thirty-six thousand".