53879203123200 has 7020 divisors, whose sum is σ = 276180771171360. Its totient is φ = 10136101847040.

The previous prime is 53879203123147. The next prime is 53879203123211. The reversal of 53879203123200 is 232130297835.

53879203123200 is a `hidden beast` number, since 5 + 3 + 8 + 7 + 9 + 2 + 0 + 312 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7020).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 2835747532791 + ... + 2835747532809.

Almost surely, 2^{53879203123200} is an apocalyptic number.

53879203123200 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 53879203123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138090385585680).

53879203123200 is an abundant number, since it is smaller than the sum of its proper divisors (222301568048160).

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

53879203123200 is a wasteful number, since it uses less digits than its factorization.

53879203123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 53879203123200 in words is "fifty-three trillion, eight hundred seventy-nine billion, two hundred three million, one hundred twenty-three thousand, two hundred".