53904056771520 has 336 divisors, whose sum is σ = 193511816289792. Its totient is φ = 13746375751680.

The previous prime is 53904056771459. The next prime is 53904056771627. The reversal of 53904056771520 is 2517765040935.

It is a happy number.

53904056771520 is a `hidden beast` number, since 5 + 3 + 9 + 0 + 4 + 0 + 567 + 71 + 5 + 2 + 0 = 666.

It is a super-2 number, since 2×53904056771520² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 304814325 + ... + 304991115.

It is an arithmetic number, because the mean of its divisors is an integer number (575928024672).

Almost surely, 2^{53904056771520} 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 53904056771520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96755908144896).

53904056771520 is an abundant number, since it is smaller than the sum of its proper divisors (139607759518272).

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

53904056771520 is a wasteful number, since it uses less digits than its factorization.

53904056771520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181440 (or 181427 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 53904056771520 in words is "fifty-three trillion, nine hundred four billion, fifty-six million, seven hundred seventy-one thousand, five hundred twenty".