10510063945920 has 672 divisors, whose sum is σ = 45126108758016. Its totient is φ = 2181211545600.

The previous prime is 10510063945873. The next prime is 10510063945933. The reversal of 10510063945920 is 2954936001501.

10510063945920 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 0 + 0 + 639 + 4 + 5 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×10510063945920² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 182036097 + ... + 182093823.

Almost surely, 2^{10510063945920} is an apocalyptic number.

10510063945920 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 10510063945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22563054379008).

10510063945920 is an abundant number, since it is smaller than the sum of its proper divisors (34616044812096).

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

10510063945920 is a wasteful number, since it uses less digits than its factorization.

10510063945920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58589 (or 58576 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 10510063945920 in words is "ten trillion, five hundred ten billion, sixty-three million, nine hundred forty-five thousand, nine hundred twenty".