10062341038080 has 672 divisors, whose sum is σ = 35293857580800. Its totient is φ = 2651709505536.

The previous prime is 10062341038037. The next prime is 10062341038093. The reversal of 10062341038080 is 8083014326001.

10062341038080 is a `hidden beast` number, since 10 + 0 + 623 + 4 + 10 + 3 + 8 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18395504367 + ... + 18395504913.

It is an arithmetic number, because the mean of its divisors is an integer number (52520621400).

Almost surely, 2^{10062341038080} is an apocalyptic number.

10062341038080 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 10062341038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17646928790400).

10062341038080 is an abundant number, since it is smaller than the sum of its proper divisors (25231516542720).

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

10062341038080 is a wasteful number, since it uses less digits than its factorization.

10062341038080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 10062341038080 in words is "ten trillion, sixty-two billion, three hundred forty-one million, thirty-eight thousand, eighty".