10546803190560 has 4608 divisors, whose sum is σ = 49121736007680. Its totient is φ = 1872809164800.

The previous prime is 10546803190513. The next prime is 10546803190571. The reversal of 10546803190560 is 6509130864501.

10546803190560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10546803190560² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 172898412930 + ... + 172898412990.

It is an arithmetic number, because the mean of its divisors is an integer number (10660098960).

Almost surely, 2^{10546803190560} is an apocalyptic number.

10546803190560 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 10546803190560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24560868003840).

10546803190560 is an abundant number, since it is smaller than the sum of its proper divisors (38574932817120).

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

10546803190560 is a wasteful number, since it uses less digits than its factorization.

10546803190560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The spelling of 10546803190560 in words is "ten trillion, five hundred forty-six billion, eight hundred three million, one hundred ninety thousand, five hundred sixty".