52542672000 has 1024 divisors, whose sum is σ = 224122429440. Its totient is φ = 10583654400.

The previous prime is 52542671999. The next prime is 52542672001. The reversal of 52542672000 is 27624525.

It is an interprime number because it is at equal distance from previous prime (52542671999) and next prime (52542672001).

It is not an unprimeable number, because it can be changed into a prime (52542672001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 100463739 + ... + 100464261.

It is an arithmetic number, because the mean of its divisors is an integer number (218869560).

Almost surely, 2^52542672000 is an apocalyptic number.

52542672000 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 52542672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112061214720).

52542672000 is an abundant number, since it is smaller than the sum of its proper divisors (171579757440).

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

52542672000 is a wasteful number, since it uses less digits than its factorization.

52542672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The spelling of 52542672000 in words is "fifty-two billion, five hundred forty-two million, six hundred seventy-two thousand".