52749861120 has 1152 divisors, whose sum is σ = 220163328000. Its totient is φ = 11824496640.

The previous prime is 52749861107. The next prime is 52749861133. The reversal of 52749861120 is 2116894725.

52749861120 is a `hidden beast` number, since 5 + 2 + 7 + 4 + 9 + 8 + 611 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (52749861107) and next prime (52749861133).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 483943626 + ... + 483943734.

It is an arithmetic number, because the mean of its divisors is an integer number (191114000).

Almost surely, 2^52749861120 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 52749861120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110081664000).

52749861120 is an abundant number, since it is smaller than the sum of its proper divisors (167413466880).

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

52749861120 is a wasteful number, since it uses less digits than its factorization.

52749861120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 52749861120 in words is "fifty-two billion, seven hundred forty-nine million, eight hundred sixty-one thousand, one hundred twenty".