54070148000 has 384 divisors, whose sum is σ = 153014883840. Its totient is φ = 18620800000.

The previous prime is 54070147973. The next prime is 54070148003. The reversal of 54070148000 is 84107045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54070148003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 535347950 + ... + 535348050.

It is an arithmetic number, because the mean of its divisors is an integer number (398476260).

Almost surely, 2^54070148000 is an apocalyptic number.

54070148000 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 54070148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76507441920).

54070148000 is an abundant number, since it is smaller than the sum of its proper divisors (98944735840).

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

54070148000 is a wasteful number, since it uses less digits than its factorization.

54070148000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The spelling of 54070148000 in words is "fifty-four billion, seventy million, one hundred forty-eight thousand".