10527552141120 has 1680 divisors, whose sum is σ = 44283742776000. Its totient is φ = 2380223397888.

The previous prime is 10527552141109. The next prime is 10527552141137. The reversal of 10527552141120 is 2114125572501.

10527552141120 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 7 + 5 + 521 + 4 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×10527552141120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 21097298631 + ... + 21097299129.

It is an arithmetic number, because the mean of its divisors is an integer number (26359370700).

Almost surely, 2^{10527552141120} is an apocalyptic number.

10527552141120 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 10527552141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22141871388000).

10527552141120 is an abundant number, since it is smaller than the sum of its proper divisors (33756190634880).

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

10527552141120 is an frugal number, since it uses more digits than its factorization.

10527552141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 36.

The spelling of 10527552141120 in words is "ten trillion, five hundred twenty-seven billion, five hundred fifty-two million, one hundred forty-one thousand, one hundred twenty".