30129426499536 has 1280 divisors, whose sum is σ = 111068446720000. Its totient is φ = 7606846494720.

The previous prime is 30129426499519. The next prime is 30129426499541. The reversal of 30129426499536 is 63599462492103.

30129426499536 is a `hidden beast` number, since 3 + 0 + 1 + 2 + 9 + 4 + 2 + 6 + 4 + 99 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 68631950805 + ... + 68631951243.

It is an arithmetic number, because the mean of its divisors is an integer number (86772224000).

Almost surely, 2^{30129426499536} is an apocalyptic number.

30129426499536 is a gapful number since it is divisible by the number (36) 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 30129426499536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55534223360000).

30129426499536 is an abundant number, since it is smaller than the sum of its proper divisors (80939020220464).

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

30129426499536 is a wasteful number, since it uses less digits than its factorization.

30129426499536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 63.

The spelling of 30129426499536 in words is "thirty trillion, one hundred twenty-nine billion, four hundred twenty-six million, four hundred ninety-nine thousand, five hundred thirty-six".