10377110016 has 640 divisors, whose sum is σ = 38662525440. Its totient is φ = 2675441664.

The previous prime is 10377109997. The next prime is 10377110057. The reversal of 10377110016 is 61001177301.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91832776 + ... + 91832888.

It is an arithmetic number, because the mean of its divisors is an integer number (60410196).

Almost surely, 2^10377110016 is an apocalyptic number.

10377110016 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 10377110016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19331262720).

10377110016 is an abundant number, since it is smaller than the sum of its proper divisors (28285415424).

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

10377110016 is a wasteful number, since it uses less digits than its factorization.

10377110016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

Adding to 10377110016 its reverse (61001177301), we get a palindrome (71378287317).

The spelling of 10377110016 in words is "ten billion, three hundred seventy-seven million, one hundred ten thousand, sixteen".