55245123246400 has 252 divisors, whose sum is σ = 146967996063420. Its totient is φ = 20424375705600.

The previous prime is 55245123246389. The next prime is 55245123246421. The reversal of 55245123246400 is 464232154255.

It can be written as a sum of positive squares in 6 ways, for example, as 16915255449856 + 38329867796544 = 4112816^2 + 6191112^2 .

It is a super-2 number, since 2×55245123246400² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22515186 + ... + 24848014.

It is an arithmetic number, because the mean of its divisors is an integer number (583206333585).

Almost surely, 2^{55245123246400} is an apocalyptic number.

55245123246400 is a gapful number since it is divisible by the number (50) 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 55245123246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73483998031710).

55245123246400 is an abundant number, since it is smaller than the sum of its proper divisors (91722872817020).

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

55245123246400 is a wasteful number, since it uses less digits than its factorization.

55245123246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332930 (or 2332896 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 43.

The spelling of 55245123246400 in words is "fifty-five trillion, two hundred forty-five billion, one hundred twenty-three million, two hundred forty-six thousand, four hundred".