10051753419648 has 192 divisors, whose sum is σ = 30338976638880. Its totient is φ = 3188299530240.

The previous prime is 10051753419613. The next prime is 10051753419709. The reversal of 10051753419648 is 84691435715001.

10051753419648 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 17 + 534 + 1 + 96 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 10051753419594 and 10051753419603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4130908 + ... + 6096548.

Almost surely, 2^{10051753419648} is an apocalyptic number.

10051753419648 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 10051753419648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15169488319440).

10051753419648 is an abundant number, since it is smaller than the sum of its proper divisors (20287223219232).

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

10051753419648 is a wasteful number, since it uses less digits than its factorization.

10051753419648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965877 (or 1965862 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 10051753419648 in words is "ten trillion, fifty-one billion, seven hundred fifty-three million, four hundred nineteen thousand, six hundred forty-eight".