52935403950 has 288 divisors, whose sum is σ = 167647832352. Its totient is φ = 11805696000.

The previous prime is 52935403931. The next prime is 52935403951. The reversal of 52935403950 is 5930453925.

52935403950 is a `hidden beast` number, since 5 + 29 + 3 + 540 + 39 + 50 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 52935403896 and 52935403905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52935403951) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 21684730 + ... + 21687170.

It is an arithmetic number, because the mean of its divisors is an integer number (582110529).

Almost surely, 2^52935403950 is an apocalyptic number.

52935403950 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 52935403950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83823916176).

52935403950 is an abundant number, since it is smaller than the sum of its proper divisors (114712428402).

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

52935403950 is a wasteful number, since it uses less digits than its factorization.

52935403950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820 (or 2812 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 45.

The spelling of 52935403950 in words is "fifty-two billion, nine hundred thirty-five million, four hundred three thousand, nine hundred fifty".