53521461504 has 432 divisors, whose sum is σ = 185081420160. Its totient is φ = 15109079040.

The previous prime is 53521461491. The next prime is 53521461517. The reversal of 53521461504 is 40516412535.

53521461504 is a `hidden beast` number, since 5 + 3 + 5 + 2 + 146 + 1 + 504 = 666.

It is an interprime number because it is at equal distance from previous prime (53521461491) and next prime (53521461517).

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 38754894 + ... + 38756274.

Almost surely, 2^53521461504 is an apocalyptic number.

53521461504 is a gapful number since it is divisible by the number (54) 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 53521461504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92540710080).

53521461504 is an abundant number, since it is smaller than the sum of its proper divisors (131559958656).

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

53521461504 is an equidigital number, since it uses as much as digits as its factorization.

53521461504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 53521461504 in words is "fifty-three billion, five hundred twenty-one million, four hundred sixty-one thousand, five hundred four".