54070949712 has 240 divisors, whose sum is σ = 154396368000. Its totient is φ = 16295086080.

The previous prime is 54070949689. The next prime is 54070949741. The reversal of 54070949712 is 21794907045.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154930914 + ... + 154931262.

It is an arithmetic number, because the mean of its divisors is an integer number (643318200).

Almost surely, 2^54070949712 is an apocalyptic number.

54070949712 is a gapful number since it is divisible by the number (52) 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 54070949712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77198184000).

54070949712 is an abundant number, since it is smaller than the sum of its proper divisors (100325418288).

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

54070949712 is a wasteful number, since it uses less digits than its factorization.

54070949712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The spelling of 54070949712 in words is "fifty-four billion, seventy million, nine hundred forty-nine thousand, seven hundred twelve".