57246732450 has 192 divisors, whose sum is σ = 167254295040. Its totient is φ = 14348160000.

The previous prime is 57246732421. The next prime is 57246732463. The reversal of 57246732450 is 5423764275.

57246732450 is a `hidden beast` number, since 572 + 4 + 6 + 7 + 3 + 24 + 50 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 57246732396 and 57246732405.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24348775 + ... + 24351125.

It is an arithmetic number, because the mean of its divisors is an integer number (871116120).

Almost surely, 2^57246732450 is an apocalyptic number.

57246732450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 57246732450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83627147520).

57246732450 is an abundant number, since it is smaller than the sum of its proper divisors (110007562590).

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

57246732450 is a wasteful number, since it uses less digits than its factorization.

57246732450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3450 (or 3439 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 57246732450 in words is "fifty-seven billion, two hundred forty-six million, seven hundred thirty-two thousand, four hundred fifty".