55784678400 has 1584 divisors, whose sum is σ = 243065692800. Its totient is φ = 12489523200.

The previous prime is 55784678399. The next prime is 55784678437. The reversal of 55784678400 is 487648755.

55784678400 is a `hidden beast` number, since 5 + 578 + 4 + 67 + 8 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-2 number, since 2×55784678400² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1923609586 + ... + 1923609614.

Almost surely, 2^55784678400 is an apocalyptic number.

55784678400 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 55784678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121532846400).

55784678400 is an abundant number, since it is smaller than the sum of its proper divisors (187281014400).

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

55784678400 is a wasteful number, since it uses less digits than its factorization.

55784678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 55784678400 in words is "fifty-five billion, seven hundred eighty-four million, six hundred seventy-eight thousand, four hundred".