10321336788000 has 1536 divisors, whose sum is σ = 42219955814400. Its totient is φ = 2151028224000.

The previous prime is 10321336787977. The next prime is 10321336788011. The reversal of 10321336788000 is 88763312301.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11231051541 + ... + 11231052459.

It is an arithmetic number, because the mean of its divisors is an integer number (27486950400).

Almost surely, 2^{10321336788000} is an apocalyptic number.

10321336788000 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 10321336788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21109977907200).

10321336788000 is an abundant number, since it is smaller than the sum of its proper divisors (31898619026400).

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

10321336788000 is a wasteful number, since it uses less digits than its factorization.

10321336788000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 10321336788000 in words is "ten trillion, three hundred twenty-one billion, three hundred thirty-six million, seven hundred eighty-eight thousand".