10076887296 has 432 divisors, whose sum is σ = 35016369024. Its totient is φ = 2830712832.

The previous prime is 10076887277. The next prime is 10076887313. The reversal of 10076887296 is 69278867001.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31788130 + ... + 31788446.

Almost surely, 2^10076887296 is an apocalyptic number.

10076887296 is a gapful number since it is divisible by the number (16) 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 10076887296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17508184512).

10076887296 is an abundant number, since it is smaller than the sum of its proper divisors (24939481728).

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

10076887296 is an frugal number, since it uses more digits than its factorization.

10076887296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 10076887296 in words is "ten billion, seventy-six million, eight hundred eighty-seven thousand, two hundred ninety-six".