54954611400 has 768 divisors, whose sum is σ = 207886694400. Its totient is φ = 11870208000.

The previous prime is 54954611357. The next prime is 54954611441. The reversal of 54954611400 is 411645945.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 119207170 + ... + 119207630.

It is an arithmetic number, because the mean of its divisors is an integer number (270685800).

Almost surely, 2^54954611400 is an apocalyptic number.

54954611400 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 54954611400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103943347200).

54954611400 is an abundant number, since it is smaller than the sum of its proper divisors (152932083000).

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

54954611400 is a wasteful number, since it uses less digits than its factorization.

54954611400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 54954611400 in words is "fifty-four billion, nine hundred fifty-four million, six hundred eleven thousand, four hundred".