10116350400 has 336 divisors, whose sum is σ = 35952809984. Its totient is φ = 2475601920.

The previous prime is 10116350399. The next prime is 10116350411. The reversal of 10116350400 is 405361101.

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, 13914837 + ... + 13915563.

Almost surely, 2^10116350400 is an apocalyptic number.

10116350400 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 10116350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17976404992).

10116350400 is an abundant number, since it is smaller than the sum of its proper divisors (25836459584).

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

10116350400 is a wasteful number, since it uses less digits than its factorization.

10116350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The spelling of 10116350400 in words is "ten billion, one hundred sixteen million, three hundred fifty thousand, four hundred".