53923638144 has 128 divisors (see below), whose sum is σ = 144480960000. Its totient is φ = 17818859520.

The previous prime is 53923638143. The next prime is 53923638211. The reversal of 53923638144 is 44183632935.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 53923638093 and 53923638102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53923638143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23764242 + ... + 23766510.

It is an arithmetic number, because the mean of its divisors is an integer number (1128757500).

Almost surely, 2^53923638144 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 53923638144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72240480000).

53923638144 is an abundant number, since it is smaller than the sum of its proper divisors (90557321856).

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

53923638144 is a wasteful number, since it uses less digits than its factorization.

53923638144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2796 (or 2784 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 48.

The spelling of 53923638144 in words is "fifty-three billion, nine hundred twenty-three million, six hundred thirty-eight thousand, one hundred forty-four".