10063004958720 has 2304 divisors, whose sum is σ = 44573537433600. Its totient is φ = 2128122740736.

The previous prime is 10063004958691. The next prime is 10063004958751. The reversal of 10063004958720 is 2785940036001.

10063004958720 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 3 + 0 + 0 + 49 + 587 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 170559406051 + ... + 170559406109.

It is an arithmetic number, because the mean of its divisors is an integer number (19346153400).

It is a 1-persistent number, because it is pandigital, but 2⋅10063004958720 = 20126009917440 is not.

Almost surely, 2^{10063004958720} is an apocalyptic number.

10063004958720 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 10063004958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22286768716800).

10063004958720 is an abundant number, since it is smaller than the sum of its proper divisors (34510532474880).

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

10063004958720 is an frugal number, since it uses more digits than its factorization.

10063004958720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 10063004958720 in words is "ten trillion, sixty-three billion, four million, nine hundred fifty-eight thousand, seven hundred twenty".