53135177404416 has 624 divisors, whose sum is σ = 156254312735040. Its totient is φ = 16036795514880.

The previous prime is 53135177404409. The next prime is 53135177404481. The reversal of 53135177404416 is 61440477153135.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 34706189571 + ... + 34706191101.

It is an arithmetic number, because the mean of its divisors is an integer number (250407552460).

Almost surely, 2^{53135177404416} 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 53135177404416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78127156367520).

53135177404416 is an abundant number, since it is smaller than the sum of its proper divisors (103119135330624).

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

53135177404416 is a wasteful number, since it uses less digits than its factorization.

53135177404416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 51.

The spelling of 53135177404416 in words is "fifty-three trillion, one hundred thirty-five billion, one hundred seventy-seven million, four hundred four thousand, four hundred sixteen".