921752663130 has 576 divisors, whose sum is σ = 2847382087680. Its totient is φ = 205941325824.

The previous prime is 921752663123. The next prime is 921752663191. The reversal of 921752663130 is 31366257129.

921752663130 is a `hidden beast` number, since 9 + 2 + 1 + 7 + 5 + 2 + 6 + 631 + 3 + 0 = 666.

It is a super-2 number, since 2×921752663130² (a number of 25 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 887153151 + ... + 887154189.

It is an arithmetic number, because the mean of its divisors is an integer number (4943371680).

Almost surely, 2^921752663130 is an apocalyptic number.

921752663130 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 921752663130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423691043840).

921752663130 is an abundant number, since it is smaller than the sum of its proper divisors (1925629424550).

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

921752663130 is a wasteful number, since it uses less digits than its factorization.

921752663130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 921752663130 in words is "nine hundred twenty-one billion, seven hundred fifty-two million, six hundred sixty-three thousand, one hundred thirty".