10033152480 has 960 divisors, whose sum is σ = 42046760448. Its totient is φ = 2229534720.

The previous prime is 10033152457. The next prime is 10033152487. The reversal of 10033152480 is 8425133001.

It is a happy number.

10033152480 is a `hidden beast` number, since 1 + 0 + 0 + 33 + 152 + 480 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10033152487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 88788904 + ... + 88789016.

Almost surely, 2^10033152480 is an apocalyptic number.

10033152480 is a gapful number since it is divisible by the number (10) 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 10033152480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21023380224).

10033152480 is an abundant number, since it is smaller than the sum of its proper divisors (32013607968).

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

10033152480 is a wasteful number, since it uses less digits than its factorization.

10033152480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 10033152480 its reverse (8425133001), we get a palindrome (18458285481).

The spelling of 10033152480 in words is "ten billion, thirty-three million, one hundred fifty-two thousand, four hundred eighty".