30775421952 has 528 divisors, whose sum is σ = 103187665152. Its totient is φ = 8742666240.

The previous prime is 30775421951. The next prime is 30775421953. The reversal of 30775421952 is 25912457703.

It is a happy number.

30775421952 is a `hidden beast` number, since 30 + 77 + 542 + 1 + 9 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (30775421951) and next prime (30775421953).

It is a tau number, because it is divible by the number of its divisors (528).

It is a junction number, because it is equal to n+sod(n) for n = 30775421898 and 30775421907.

It is not an unprimeable number, because it can be changed into a prime (30775421951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156220318 + ... + 156220514.

It is an arithmetic number, because the mean of its divisors is an integer number (195431184).

Almost surely, 2^30775421952 is an apocalyptic number.

30775421952 is a gapful number since it is divisible by the number (32) 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 30775421952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51593832576).

30775421952 is an abundant number, since it is smaller than the sum of its proper divisors (72412243200).

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

30775421952 is a wasteful number, since it uses less digits than its factorization.

30775421952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 30775421952 in words is "thirty billion, seven hundred seventy-five million, four hundred twenty-one thousand, nine hundred fifty-two".