10077380352 has 216 divisors, whose sum is σ = 31504613504. Its totient is φ = 3079544832.

The previous prime is 10077380329. The next prime is 10077380353. The reversal of 10077380352 is 25308377001.

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 (10077380353) 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 23 ways as a sum of consecutive naturals, for example, 4701393 + ... + 4703535.

Almost surely, 2^10077380352 is an apocalyptic number.

10077380352 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 10077380352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15752306752).

10077380352 is an abundant number, since it is smaller than the sum of its proper divisors (21427233152).

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

10077380352 is a wasteful number, since it uses less digits than its factorization.

10077380352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335 (or 2318 counting only the distinct ones).

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

The spelling of 10077380352 in words is "ten billion, seventy-seven million, three hundred eighty thousand, three hundred fifty-two".