54782788320 has 960 divisors, whose sum is σ = 227937701376. Its totient is φ = 12262440960.

The previous prime is 54782788301. The next prime is 54782788387. The reversal of 54782788320 is 2388728745.

54782788320 is a `hidden beast` number, since 5 + 47 + 8 + 278 + 8 + 320 = 666.

It is a super-2 number, since 2×54782788320² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 88788652 + ... + 88789268.

Almost surely, 2^54782788320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54782788320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113968850688).

54782788320 is an abundant number, since it is smaller than the sum of its proper divisors (173154913056).

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

54782788320 is a wasteful number, since it uses less digits than its factorization.

54782788320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 54782788320 in words is "fifty-four billion, seven hundred eighty-two million, seven hundred eighty-eight thousand, three hundred twenty".