54120213504 has 308 divisors, whose sum is σ = 185397510544. Its totient is φ = 15461425152.

The previous prime is 54120213493. The next prime is 54120213517. The reversal of 54120213504 is 40531202145.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5220294 + ... + 5230650.

Almost surely, 2^54120213504 is an apocalyptic number.

54120213504 is a gapful number since it is divisible by the number (54) 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 54120213504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92698755272).

54120213504 is an abundant number, since it is smaller than the sum of its proper divisors (131277297040).

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

54120213504 is an equidigital number, since it uses as much as digits as its factorization.

54120213504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10402 (or 10369 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 54120213504 its reverse (40531202145), we get a palindrome (94651415649).

The spelling of 54120213504 in words is "fifty-four billion, one hundred twenty million, two hundred thirteen thousand, five hundred four".