10127847408000 has 256 divisors, whose sum is σ = 38370074595840. Its totient is φ = 2314936473600.

The previous prime is 10127847407983. The next prime is 10127847408059. The reversal of 10127847408000 is 80474872101.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 14735202 + ... + 15407201.

It is an arithmetic number, because the mean of its divisors is an integer number (149883103890).

Almost surely, 2^{10127847408000} is an apocalyptic number.

10127847408000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10127847408000 is an abundant number, since it is smaller than the sum of its proper divisors (28242227187840).

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

10127847408000 is an equidigital number, since it uses as much as digits as its factorization.

10127847408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30142442 (or 30142420 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 42.

The spelling of 10127847408000 in words is "ten trillion, one hundred twenty-seven billion, eight hundred forty-seven million, four hundred eight thousand".