52946127360 has 1280 divisors, whose sum is σ = 234614983680. Its totient is φ = 11041505280.

The previous prime is 52946127347. The next prime is 52946127373. The reversal of 52946127360 is 6372164925.

52946127360 is a `hidden beast` number, since 5 + 29 + 4 + 612 + 7 + 3 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (52946127347) and next prime (52946127373).

It is a tau number, because it is divible by the number of its divisors (1280).

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, 337236402 + ... + 337236558.

It is an arithmetic number, because the mean of its divisors is an integer number (183292956).

Almost surely, 2^52946127360 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 52946127360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117307491840).

52946127360 is an abundant number, since it is smaller than the sum of its proper divisors (181668856320).

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

52946127360 is a wasteful number, since it uses less digits than its factorization.

52946127360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 52946127360 in words is "fifty-two billion, nine hundred forty-six million, one hundred twenty-seven thousand, three hundred sixty".