54353678400 has 1344 divisors, whose sum is σ = 244459353600. Its totient is φ = 11466178560.

The previous prime is 54353678389. The next prime is 54353678429. The reversal of 54353678400 is 487635345.

54353678400 is a `hidden beast` number, since 5 + 4 + 3 + 536 + 78 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×54353678400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 498657546 + ... + 498657654.

It is an arithmetic number, because the mean of its divisors is an integer number (181889400).

Almost surely, 2^54353678400 is an apocalyptic number.

54353678400 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 54353678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122229676800).

54353678400 is an abundant number, since it is smaller than the sum of its proper divisors (190105675200).

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

54353678400 is a wasteful number, since it uses less digits than its factorization.

54353678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 54353678400 in words is "fifty-four billion, three hundred fifty-three million, six hundred seventy-eight thousand, four hundred".