10078997760 has 648 divisors, whose sum is σ = 39212619264. Its totient is φ = 2386575360.

The previous prime is 10078997759. The next prime is 10078997777. The reversal of 10078997760 is 6779987001.

It is a junction number, because it is equal to n+sod(n) for n = 10078997697 and 10078997706.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 60353197 + ... + 60353363.

Almost surely, 2^10078997760 is an apocalyptic number.

10078997760 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 10078997760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19606309632).

10078997760 is an abundant number, since it is smaller than the sum of its proper divisors (29133621504).

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

10078997760 is a wasteful number, since it uses less digits than its factorization.

10078997760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 54.

The spelling of 10078997760 in words is "ten billion, seventy-eight million, nine hundred ninety-seven thousand, seven hundred sixty".