10475377920 has 1152 divisors, whose sum is σ = 46622822400. Its totient is φ = 2173796352.

The previous prime is 10475377859. The next prime is 10475377921. The reversal of 10475377920 is 2977357401.

10475377920 is a `hidden beast` number, since 1 + 0 + 47 + 537 + 79 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10475377921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 197648614 + ... + 197648666.

It is an arithmetic number, because the mean of its divisors is an integer number (40471200).

Almost surely, 2^10475377920 is an apocalyptic number.

10475377920 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 10475377920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23311411200).

10475377920 is an abundant number, since it is smaller than the sum of its proper divisors (36147444480).

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

10475377920 is a wasteful number, since it uses less digits than its factorization.

10475377920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 10475377920 in words is "ten billion, four hundred seventy-five million, three hundred seventy-seven thousand, nine hundred twenty".