5376416456700 has 216 divisors, whose sum is σ = 17546114070576. Its totient is φ = 1375811712000.

The previous prime is 5376416456693. The next prime is 5376416456701. The reversal of 5376416456700 is 76546146735.

5376416456700 is a `hidden beast` number, since 5 + 3 + 7 + 64 + 16 + 4 + 567 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5376416456701) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1056619 + ... + 3445181.

It is an arithmetic number, because the mean of its divisors is an integer number (81232009586).

Almost surely, 2^{5376416456700} is an apocalyptic number.

5376416456700 is a gapful number since it is divisible by the number (50) 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 5376416456700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8773057035288).

5376416456700 is an abundant number, since it is smaller than the sum of its proper divisors (12169697613876).

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

5376416456700 is a wasteful number, since it uses less digits than its factorization.

5376416456700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2388685 (or 2388675 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 5376416456700 in words is "five trillion, three hundred seventy-six billion, four hundred sixteen million, four hundred fifty-six thousand, seven hundred".