10051983694368 has 1920 divisors, whose sum is σ = 39769139773440. Its totient is φ = 2434286131200.

The previous prime is 10051983694343. The next prime is 10051983694373. The reversal of 10051983694368 is 86349638915001.

10051983694368 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 198 + 3 + 6 + 9 + 436 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 21710547705 + ... + 21710548167.

It is an arithmetic number, because the mean of its divisors is an integer number (20713093632).

Almost surely, 2^{10051983694368} is an apocalyptic number.

10051983694368 is a gapful number since it is divisible by the number (18) 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 10051983694368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19884569886720).

10051983694368 is an abundant number, since it is smaller than the sum of its proper divisors (29717156079072).

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

10051983694368 is a wasteful number, since it uses less digits than its factorization.

10051983694368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 10051983694368 in words is "ten trillion, fifty-one billion, nine hundred eighty-three million, six hundred ninety-four thousand, three hundred sixty-eight".