10019894814720 has 2304 divisors, whose sum is σ = 43878135974400. Its totient is φ = 2185166979072.

The previous prime is 10019894814647. The next prime is 10019894814799. The reversal of 10019894814720 is 2741849891001.

10019894814720 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 9 + 8 + 94 + 81 + 472 + 0 = 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25239029562 + ... + 25239029958.

It is an arithmetic number, because the mean of its divisors is an integer number (19044329850).

Almost surely, 2^{10019894814720} is an apocalyptic number.

10019894814720 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 10019894814720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21939067987200).

10019894814720 is an abundant number, since it is smaller than the sum of its proper divisors (33858241159680).

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

10019894814720 is an frugal number, since it uses more digits than its factorization.

10019894814720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 10019894814720 in words is "ten trillion, nineteen billion, eight hundred ninety-four million, eight hundred fourteen thousand, seven hundred twenty".