52740777600 has 1152 divisors, whose sum is σ = 231837840000. Its totient is φ = 11379916800.

The previous prime is 52740777599. The next prime is 52740777637. The reversal of 52740777600 is 677704725.

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

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 143 ways as a sum of consecutive naturals, for example, 187689460 + ... + 187689740.

It is an arithmetic number, because the mean of its divisors is an integer number (201248125).

Almost surely, 2^52740777600 is an apocalyptic number.

52740777600 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 52740777600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115918920000).

52740777600 is an abundant number, since it is smaller than the sum of its proper divisors (179097062400).

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

52740777600 is a wasteful number, since it uses less digits than its factorization.

52740777600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 576240, while the sum is 45.

The spelling of 52740777600 in words is "fifty-two billion, seven hundred forty million, seven hundred seventy-seven thousand, six hundred".