5416977600 has 336 divisors, whose sum is σ = 20286573600. Its totient is φ = 1405071360.

The previous prime is 5416977581. The next prime is 5416977617. The reversal of 5416977600 is 67796145.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1596706 + ... + 1600094.

Almost surely, 2^5416977600 is an apocalyptic number.

5416977600 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 5416977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10143286800).

5416977600 is an abundant number, since it is smaller than the sum of its proper divisors (14869596000).

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

5416977600 is a wasteful number, since it uses less digits than its factorization.

5416977600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3457 (or 3436 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 5416977600 is about 73600.1195651203. The cubic root of 5416977600 is about 1756.2473417639.

It can be divided in two parts, 54169 and 77600, that added together give a square (131769 = 363²).

The spelling of 5416977600 in words is "five billion, four hundred sixteen million, nine hundred seventy-seven thousand, six hundred".