53386629120 has 832 divisors, whose sum is σ = 211744558080. Its totient is φ = 12651724800.

The previous prime is 53386629103. The next prime is 53386629143. The reversal of 53386629120 is 2192668335.

53386629120 is a `hidden beast` number, since 5 + 3 + 3 + 8 + 6 + 629 + 12 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 407531455 + ... + 407531585.

Almost surely, 2^53386629120 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 53386629120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105872279040).

53386629120 is an abundant number, since it is smaller than the sum of its proper divisors (158357928960).

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

53386629120 is a wasteful number, since it uses less digits than its factorization.

53386629120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 53386629120 in words is "fifty-three billion, three hundred eighty-six million, six hundred twenty-nine thousand, one hundred twenty".