54235177514440 has 512 divisors, whose sum is σ = 141426354585600. Its totient is φ = 18565747200000.

The previous prime is 54235177514423. The next prime is 54235177514443. The reversal of 54235177514440 is 4441577153245.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (54235177514443) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16837992030 + ... + 16837995250.

It is an arithmetic number, because the mean of its divisors is an integer number (276223348800).

Almost surely, 2^{54235177514440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54235177514440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70713177292800).

54235177514440 is an abundant number, since it is smaller than the sum of its proper divisors (87191177071160).

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

54235177514440 is a wasteful number, since it uses less digits than its factorization.

54235177514440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3669 (or 3665 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 52.

The spelling of 54235177514440 in words is "fifty-four trillion, two hundred thirty-five billion, one hundred seventy-seven million, five hundred fourteen thousand, four hundred forty".