54369433923840 has 3456 divisors, whose sum is σ = 247159661091840. Its totient is φ = 11236854988800.

The previous prime is 54369433923829. The next prime is 54369433923977. The reversal of 54369433923840 is 4832933496345.

54369433923840 is a `hidden beast` number, since 5 + 4 + 3 + 69 + 4 + 339 + 238 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 86163920325 + ... + 86163920955.

It is an arithmetic number, because the mean of its divisors is an integer number (71516105640).

Almost surely, 2^{54369433923840} 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 54369433923840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123579830545920).

54369433923840 is an abundant number, since it is smaller than the sum of its proper divisors (192790227168000).

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

54369433923840 is a wasteful number, since it uses less digits than its factorization.

54369433923840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 63.

The spelling of 54369433923840 in words is "fifty-four trillion, three hundred sixty-nine billion, four hundred thirty-three million, nine hundred twenty-three thousand, eight hundred forty".