53574642000 has 1280 divisors, whose sum is σ = 227299737600. Its totient is φ = 11923200000.

The previous prime is 53574641977. The next prime is 53574642089. The reversal of 53574642000 is 24647535.

53574642000 is a `hidden beast` number, since 5 + 3 + 5 + 7 + 4 + 642 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 530441950 + ... + 530442050.

It is an arithmetic number, because the mean of its divisors is an integer number (177577920).

Almost surely, 2^53574642000 is an apocalyptic number.

53574642000 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 53574642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113649868800).

53574642000 is an abundant number, since it is smaller than the sum of its proper divisors (173725095600).

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

53574642000 is a wasteful number, since it uses less digits than its factorization.

53574642000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 53574642000 in words is "fifty-three billion, five hundred seventy-four million, six hundred forty-two thousand".