55134182400 has 792 divisors, whose sum is σ = 212682481200. Its totient is φ = 12543590400.

The previous prime is 55134182393. The next prime is 55134182423. The reversal of 55134182400 is 428143155.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 157977426 + ... + 157977774.

Almost surely, 2^55134182400 is an apocalyptic number.

55134182400 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 55134182400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106341240600).

55134182400 is an abundant number, since it is smaller than the sum of its proper divisors (157548298800).

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

55134182400 is a wasteful number, since it uses less digits than its factorization.

55134182400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 55134182400 in words is "fifty-five billion, one hundred thirty-four million, one hundred eighty-two thousand, four hundred".