54219669504 has 1024 divisors, whose sum is σ = 211389696000. Its totient is φ = 11890851840.

The previous prime is 54219669503. The next prime is 54219669547. The reversal of 54219669504 is 40596691245.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a super-2 number, since 2×54219669504² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54219669503) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1869643762 + ... + 1869643790.

It is an arithmetic number, because the mean of its divisors is an integer number (206435250).

Almost surely, 2^54219669504 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 54219669504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105694848000).

54219669504 is an abundant number, since it is smaller than the sum of its proper divisors (157170026496).

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

54219669504 is a wasteful number, since it uses less digits than its factorization.

54219669504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 51.

The spelling of 54219669504 in words is "fifty-four billion, two hundred nineteen million, six hundred sixty-nine thousand, five hundred four".