10653427388520 has 960 divisors, whose sum is σ = 43005450620880. Its totient is φ = 2356729675776.

The previous prime is 10653427388503. The next prime is 10653427388533. The reversal of 10653427388520 is 2588372435601.

10653427388520 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 3 + 42 + 73 + 8 + 8 + 520 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2018962493604 + 8634464894916 = 1420902^2 + 2938446^2 .

It is a super-2 number, since 2×10653427388520² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1133700462 + ... + 1133709858.

Almost surely, 2^{10653427388520} is an apocalyptic number.

10653427388520 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 10653427388520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21502725310440).

10653427388520 is an abundant number, since it is smaller than the sum of its proper divisors (32352023232360).

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

10653427388520 is a wasteful number, since it uses less digits than its factorization.

10653427388520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9664 (or 9644 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 10653427388520 in words is "ten trillion, six hundred fifty-three billion, four hundred twenty-seven million, three hundred eighty-eight thousand, five hundred twenty".