10061216562000 has 160 divisors (see below), whose sum is σ = 32441064888960. Its totient is φ = 2682684825600.

The previous prime is 10061216561999. The next prime is 10061216562043. The reversal of 10061216562000 is 26561216001.

10061216562000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55126896 + ... + 55309104.

It is an arithmetic number, because the mean of its divisors is an integer number (202756655556).

Almost surely, 2^{10061216562000} is an apocalyptic number.

10061216562000 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 10061216562000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16220532444480).

10061216562000 is an abundant number, since it is smaller than the sum of its proper divisors (22379848326960).

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

10061216562000 is a wasteful number, since it uses less digits than its factorization.

10061216562000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191438 (or 191422 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

Adding to 10061216562000 its reverse (26561216001), we get a palindrome (10087777778001).

The spelling of 10061216562000 in words is "ten trillion, sixty-one billion, two hundred sixteen million, five hundred sixty-two thousand".