10738372500 has 300 divisors, whose sum is σ = 36938550880. Its totient is φ = 2711880000.

The previous prime is 10738372433. The next prime is 10738372501. The reversal of 10738372500 is 527383701.

10738372500 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 83 + 72 + 500 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

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 (10738372501) 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 99 ways as a sum of consecutive naturals, for example, 3846105 + ... + 3848895.

Almost surely, 2^10738372500 is an apocalyptic number.

10738372500 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 10738372500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18469275440).

10738372500 is an abundant number, since it is smaller than the sum of its proper divisors (26200178380).

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

10738372500 is a wasteful number, since it uses less digits than its factorization.

10738372500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2846 (or 2820 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 10738372500 in words is "ten billion, seven hundred thirty-eight million, three hundred seventy-two thousand, five hundred".