10050116472000 has 1568 divisors, whose sum is σ = 41712834316608. Its totient is φ = 2376345600000.

The previous prime is 10050116471987. The next prime is 10050116472023. The reversal of 10050116472000 is 27461105001.

It is a happy number.

10050116472000 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 0 + 11 + 647 + 2 + 0 + 0 + 0 = 666.

10050116472000 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 2×10050116472000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2630230090 + ... + 2630233910.

It is an arithmetic number, because the mean of its divisors is an integer number (26602572906).

Almost surely, 2^{10050116472000} is an apocalyptic number.

10050116472000 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 10050116472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20856417158304).

10050116472000 is an abundant number, since it is smaller than the sum of its proper divisors (31662717844608).

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

10050116472000 is an equidigital number, since it uses as much as digits as its factorization.

10050116472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3918 (or 3883 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 10050116472000 its reverse (27461105001), we get a palindrome (10077577577001).

The spelling of 10050116472000 in words is "ten trillion, fifty billion, one hundred sixteen million, four hundred seventy-two thousand".