10732060396800 has 3456 divisors, whose sum is σ = 46059322014720. Its totient is φ = 2459495301120.

The previous prime is 10732060396711. The next prime is 10732060396867. The reversal of 10732060396800 is 869306023701.

10732060396800 is a `hidden beast` number, since 1 + 0 + 7 + 32 + 0 + 603 + 9 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 202491705574 + ... + 202491705626.

It is an arithmetic number, because the mean of its divisors is an integer number (13327350120).

Almost surely, 2^{10732060396800} is an apocalyptic number.

10732060396800 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 10732060396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23029661007360).

10732060396800 is an abundant number, since it is smaller than the sum of its proper divisors (35327261617920).

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

10732060396800 is an equidigital number, since it uses as much as digits as its factorization.

10732060396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 10732060396800 in words is "ten trillion, seven hundred thirty-two billion, sixty million, three hundred ninety-six thousand, eight hundred".