54782378784 has 336 divisors, whose sum is σ = 189821677248. Its totient is φ = 15227398656.

The previous prime is 54782378771. The next prime is 54782378803. The reversal of 54782378784 is 48787328745.

It is a happy number.

54782378784 is a `hidden beast` number, since 5 + 478 + 2 + 3 + 7 + 87 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×54782378784² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6037419 + ... + 6046485.

It is an arithmetic number, because the mean of its divisors is an integer number (564945468).

Almost surely, 2^54782378784 is an apocalyptic number.

54782378784 is a gapful number since it is divisible by the number (54) 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 54782378784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94910838624).

54782378784 is an abundant number, since it is smaller than the sum of its proper divisors (135039298464).

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

54782378784 is an equidigital number, since it uses as much as digits as its factorization.

54782378784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9139 (or 9116 counting only the distinct ones).

The product of its digits is 84295680, while the sum is 63.

The spelling of 54782378784 in words is "fifty-four billion, seven hundred eighty-two million, three hundred seventy-eight thousand, seven hundred eighty-four".