55197101001240 has 1152 divisors, whose sum is σ = 206401058035200. Its totient is φ = 13110102720000.

The previous prime is 55197101001181. The next prime is 55197101001257. The reversal of 55197101001240 is 4210010179155.

55197101001240 is a `hidden beast` number, since 5 + 519 + 7 + 1 + 0 + 10 + 0 + 124 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 55197101001195 and 55197101001204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 338632521399 + ... + 338632521561.

It is an arithmetic number, because the mean of its divisors is an integer number (179167585100).

Almost surely, 2^{55197101001240} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55197101001240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103200529017600).

55197101001240 is an abundant number, since it is smaller than the sum of its proper divisors (151203957033960).

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

55197101001240 is a wasteful number, since it uses less digits than its factorization.

55197101001240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 36.

The spelling of 55197101001240 in words is "fifty-five trillion, one hundred ninety-seven billion, one hundred one million, one thousand, two hundred forty".