54711070800 has 240 divisors, whose sum is σ = 180404762880. Its totient is φ = 14167296000.

The previous prime is 54711070789. The next prime is 54711070859. The reversal of 54711070800 is 807011745.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×54711070800² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5778070 + ... + 5787530.

It is an arithmetic number, because the mean of its divisors is an integer number (751686512).

Almost surely, 2^54711070800 is an apocalyptic number.

54711070800 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 54711070800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90202381440).

54711070800 is an abundant number, since it is smaller than the sum of its proper divisors (125693692080).

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

54711070800 is a wasteful number, since it uses less digits than its factorization.

54711070800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9622 (or 9611 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 33.

The spelling of 54711070800 in words is "fifty-four billion, seven hundred eleven million, seventy thousand, eight hundred".