53829592740 has 768 divisors, whose sum is σ = 223585689600. Its totient is φ = 10413619200.

The previous prime is 53829592711. The next prime is 53829592753. The reversal of 53829592740 is 4729592835.

53829592740 is a `hidden beast` number, since 5 + 3 + 8 + 2 + 9 + 592 + 7 + 40 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 48190662 + ... + 48191778.

It is an arithmetic number, because the mean of its divisors is an integer number (291127200).

Almost surely, 2^53829592740 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 53829592740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111792844800).

53829592740 is an abundant number, since it is smaller than the sum of its proper divisors (169756096860).

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

53829592740 is a wasteful number, since it uses less digits than its factorization.

53829592740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 53829592740 in words is "fifty-three billion, eight hundred twenty-nine million, five hundred ninety-two thousand, seven hundred forty".