55125367743600 has 5040 divisors, whose sum is σ = 278415732752640. Its totient is φ = 10198628352000.

The previous prime is 55125367743587. The next prime is 55125367743629. The reversal of 55125367743600 is 634776352155.

55125367743600 is a `hidden beast` number, since 5 + 5 + 1 + 2 + 536 + 7 + 7 + 43 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1007 ways as a sum of consecutive naturals, for example, 79776219255 + ... + 79776219945.

It is an arithmetic number, because the mean of its divisors is an integer number (55241216816).

Almost surely, 2^{55125367743600} is an apocalyptic number.

55125367743600 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 55125367743600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139207866376320).

55125367743600 is an abundant number, since it is smaller than the sum of its proper divisors (223290365009040).

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

55125367743600 is a wasteful number, since it uses less digits than its factorization.

55125367743600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 15876000, while the sum is 54.

The spelling of 55125367743600 in words is "fifty-five trillion, one hundred twenty-five billion, three hundred sixty-seven million, seven hundred forty-three thousand, six hundred".