52748957721600 has 528 divisors, whose sum is σ = 221381674416000. Its totient is φ = 12056903516160.

The previous prime is 52748957721533. The next prime is 52748957721613. The reversal of 52748957721600 is 612775984725.

52748957721600 is a `hidden beast` number, since 5 + 2 + 7 + 48 + 9 + 577 + 2 + 16 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 612675 + ... + 10289474.

Almost surely, 2^{52748957721600} is an apocalyptic number.

52748957721600 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 52748957721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110690837208000).

52748957721600 is an abundant number, since it is smaller than the sum of its proper divisors (168632716694400).

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

52748957721600 is a wasteful number, since it uses less digits than its factorization.

52748957721600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10902195 (or 10902166 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 63.

The spelling of 52748957721600 in words is "fifty-two trillion, seven hundred forty-eight billion, nine hundred fifty-seven million, seven hundred twenty-one thousand, six hundred".