54434015020000 has 480 divisors, whose sum is σ = 167319737544960. Its totient is φ = 16929891840000.

The previous prime is 54434015019961. The next prime is 54434015020001. The reversal of 54434015020000 is 2051043445.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54434015020001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 719142156 + ... + 719217844.

It is an arithmetic number, because the mean of its divisors is an integer number (348582786552).

Almost surely, 2^{54434015020000} is an apocalyptic number.

54434015020000 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 54434015020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83659868772480).

54434015020000 is an abundant number, since it is smaller than the sum of its proper divisors (112885722524960).

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

54434015020000 is a wasteful number, since it uses less digits than its factorization.

54434015020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76204 (or 76181 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 54434015020000 its reverse (2051043445), we get a palindrome (54436066063445).

The spelling of 54434015020000 in words is "fifty-four trillion, four hundred thirty-four billion, fifteen million, twenty thousand".