30501264385152 has 768 divisors, whose sum is σ = 104269057401600. Its totient is φ = 8452059955200.

The previous prime is 30501264385121. The next prime is 30501264385153. The reversal of 30501264385152 is 25158346210503.

It is a happy number.

30501264385152 is a `hidden beast` number, since 3 + 0 + 5 + 0 + 1 + 264 + 385 + 1 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 30501264385098 and 30501264385107.

It is not an unprimeable number, because it can be changed into a prime (30501264385153) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6687404952 + ... + 6687409512.

It is an arithmetic number, because the mean of its divisors is an integer number (135767001825).

Almost surely, 2^{30501264385152} is an apocalyptic number.

30501264385152 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 30501264385152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52134528700800).

30501264385152 is an abundant number, since it is smaller than the sum of its proper divisors (73767793016448).

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

30501264385152 is a wasteful number, since it uses less digits than its factorization.

30501264385152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5485 (or 5470 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 30501264385152 in words is "thirty trillion, five hundred one billion, two hundred sixty-four million, three hundred eighty-five thousand, one hundred fifty-two".