10403763552 has 384 divisors, whose sum is σ = 37709521920. Its totient is φ = 2717245440.

The previous prime is 10403763523. The next prime is 10403763553. The reversal of 10403763552 is 25536730401.

10403763552 is a `hidden beast` number, since 1 + 0 + 40 + 3 + 7 + 63 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10403763553) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8883927 + ... + 8885097.

It is an arithmetic number, because the mean of its divisors is an integer number (98201880).

Almost surely, 2^10403763552 is an apocalyptic number.

10403763552 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 10403763552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18854760960).

10403763552 is an abundant number, since it is smaller than the sum of its proper divisors (27305758368).

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

10403763552 is a wasteful number, since it uses less digits than its factorization.

10403763552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 10403763552 in words is "ten billion, four hundred three million, seven hundred sixty-three thousand, five hundred fifty-two".