10150403620032 has 448 divisors, whose sum is σ = 32278037877120. Its totient is φ = 3109404672000.

The previous prime is 10150403619989. The next prime is 10150403620153. The reversal of 10150403620032 is 23002630405101.

10150403620032 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 0 + 4 + 0 + 3 + 620 + 0 + 32 = 666.

10150403620032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10150403619978 and 10150403620005.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7683877932 + ... + 7683879252.

It is an arithmetic number, because the mean of its divisors is an integer number (72049191690).

Almost surely, 2^{10150403620032} is an apocalyptic number.

10150403620032 is a gapful number since it is divisible by the number (12) 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 10150403620032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16139018938560).

10150403620032 is an abundant number, since it is smaller than the sum of its proper divisors (22127634257088).

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

10150403620032 is a wasteful number, since it uses less digits than its factorization.

10150403620032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2609 (or 2593 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 10150403620032 in words is "ten trillion, one hundred fifty billion, four hundred three million, six hundred twenty thousand, thirty-two".