5415774000 has 720 divisors, whose sum is σ = 22195499040. Its totient is φ = 1132185600.

The previous prime is 5415773981. The next prime is 5415774037. The reversal of 5415774000 is 4775145.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49685946 + ... + 49686054.

It is an arithmetic number, because the mean of its divisors is an integer number (30827082).

Almost surely, 2^5415774000 is an apocalyptic number.

5415774000 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 5415774000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11097749520).

5415774000 is an abundant number, since it is smaller than the sum of its proper divisors (16779725040).

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

5415774000 is a wasteful number, since it uses less digits than its factorization.

5415774000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 33.

The square root of 5415774000 is about 73591.9424937269. The cubic root of 5415774000 is about 1756.1172584079.

The spelling of 5415774000 in words is "five billion, four hundred fifteen million, seven hundred seventy-four thousand".