53175325742000 has 960 divisors, whose sum is σ = 166380448136448. Its totient is φ = 16078030848000.

The previous prime is 53175325741907. The next prime is 53175325742023. The reversal of 53175325742000 is 24752357135.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24883164932 + ... + 24883167068.

Almost surely, 2^{53175325742000} is an apocalyptic number.

53175325742000 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 53175325742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83190224068224).

53175325742000 is an abundant number, since it is smaller than the sum of its proper divisors (113205122394448).

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

53175325742000 is a wasteful number, since it uses less digits than its factorization.

53175325742000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2623 (or 2596 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 44.

The spelling of 53175325742000 in words is "fifty-three trillion, one hundred seventy-five billion, three hundred twenty-five million, seven hundred forty-two thousand".