54553800 has 192 divisors, whose sum is σ = 199987200. Its totient is φ = 12038400.

The previous prime is 54553783. The next prime is 54553813. The reversal of 54553800 is 835545.

It is a super-2 number, since 2×54553800² = 5952234188880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129991 + ... + 130409.

It is an arithmetic number, because the mean of its divisors is an integer number (1041600).

Almost surely, 2^54553800 is an apocalyptic number.

54553800 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 54553800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99993600).

54553800 is an abundant number, since it is smaller than the sum of its proper divisors (145433400).

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

54553800 is a wasteful number, since it uses less digits than its factorization.

54553800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 54553800 is about 7386.0544270943. The cubic root of 54553800 is about 379.2640418639.

It can be divided in two parts, 545 and 53800, that added together give a palindrome (54345).

The spelling of 54553800 in words is "fifty-four million, five hundred fifty-three thousand, eight hundred".