54785640000 has 1120 divisors, whose sum is σ = 231954750720. Its totient is φ = 11096064000.

The previous prime is 54785639999. The next prime is 54785640017. The reversal of 54785640000 is 4658745.

It is a tau number, because it is divible by the number of its divisors (1120).

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

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, 316679914 + ... + 316680086.

It is an arithmetic number, because the mean of its divisors is an integer number (207102456).

Almost surely, 2^54785640000 is an apocalyptic number.

54785640000 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 54785640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115977375360).

54785640000 is an abundant number, since it is smaller than the sum of its proper divisors (177169110720).

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

54785640000 is a wasteful number, since it uses less digits than its factorization.

54785640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The spelling of 54785640000 in words is "fifty-four billion, seven hundred eighty-five million, six hundred forty thousand".