54031564445400 has 144 divisors (see below), whose sum is σ = 181510303534560. Its totient is φ = 14404105555200.

The previous prime is 54031564445371. The next prime is 54031564445407. The reversal of 54031564445400 is 454446513045.

54031564445400 is a `hidden beast` number, since 5 + 4 + 0 + 3 + 1 + 5 + 64 + 44 + 540 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54031564445407) 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 35 ways as a sum of consecutive naturals, for example, 1527790 + ... + 10507010.

It is an arithmetic number, because the mean of its divisors is an integer number (1260488218990).

Almost surely, 2^{54031564445400} is an apocalyptic number.

54031564445400 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 54031564445400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90755151767280).

54031564445400 is an abundant number, since it is smaller than the sum of its proper divisors (127478739089160).

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

54031564445400 is a wasteful number, since it uses less digits than its factorization.

54031564445400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8982586 (or 8982574 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 54031564445400 in words is "fifty-four trillion, thirty-one billion, five hundred sixty-four million, four hundred forty-five thousand, four hundred".