10060181856000 has 1440 divisors, whose sum is σ = 38748140278848. Its totient is φ = 2590440652800.

The previous prime is 10060181855957. The next prime is 10060181856029. The reversal of 10060181856000 is 65818106001.

10060181856000 is a `hidden beast` number, since 10 + 0 + 6 + 0 + 1 + 81 + 8 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9204191454 + ... + 9204192546.

Almost surely, 2^{10060181856000} is an apocalyptic number.

10060181856000 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 10060181856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19374070139424).

10060181856000 is an abundant number, since it is smaller than the sum of its proper divisors (28687958422848).

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

10060181856000 is an equidigital number, since it uses as much as digits as its factorization.

10060181856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 10060181856000 in words is "ten trillion, sixty billion, one hundred eighty-one million, eight hundred fifty-six thousand".