5286951040 has 384 divisors, whose sum is σ = 15974081280. Its totient is φ = 1661829120.

The previous prime is 5286951037. The next prime is 5286951101. The reversal of 5286951040 is 401596825.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 5286950984 and 5286951002.

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, 25056535 + ... + 25056745.

It is an arithmetic number, because the mean of its divisors is an integer number (41599170).

Almost surely, 2^5286951040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5286951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7987040640).

5286951040 is an abundant number, since it is smaller than the sum of its proper divisors (10687130240).

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

5286951040 is a wasteful number, since it uses less digits than its factorization.

5286951040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The square root of 5286951040 is about 72711.4230365491. The cubic root of 5286951040 is about 1742.0813425389.

The spelling of 5286951040 in words is "five billion, two hundred eighty-six million, nine hundred fifty-one thousand, forty".