11552547307100 has 432 divisors, whose sum is σ = 28197904781088. Its totient is φ = 4091740323840.

The previous prime is 11552547307097. The next prime is 11552547307111. The reversal of 11552547307100 is 170374525511.

It is a super-2 number, since 2×11552547307100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 9004323059 + ... + 9004324341.

It is an arithmetic number, because the mean of its divisors is an integer number (65272927734).

Almost surely, 2^{11552547307100} is an apocalyptic number.

11552547307100 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 11552547307100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14098952390544).

11552547307100 is an abundant number, since it is smaller than the sum of its proper divisors (16645357473988).

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

11552547307100 is a wasteful number, since it uses less digits than its factorization.

11552547307100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 147000, while the sum is 41.

The spelling of 11552547307100 in words is "eleven trillion, five hundred fifty-two billion, five hundred forty-seven million, three hundred seven thousand, one hundred".