5361315840 has 624 divisors, whose sum is σ = 20700295200. Its totient is φ = 1277165568.

The previous prime is 5361315821. The next prime is 5361315851. The reversal of 5361315840 is 485131635.

5361315840 is a `hidden beast` number, since 536 + 1 + 31 + 58 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5361315795 and 5361315804.

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, 90869731 + ... + 90869789.

It is an arithmetic number, because the mean of its divisors is an integer number (33173550).

Almost surely, 2^5361315840 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 5361315840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10350147600).

5361315840 is an abundant number, since it is smaller than the sum of its proper divisors (15338979360).

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

5361315840 is a wasteful number, since it uses less digits than its factorization.

5361315840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5361315840 is about 73221.0068218131. The cubic root of 5361315840 is about 1750.2112223959.

It can be divided in two parts, 5361 and 315840, that added together give a triangular number (321201 = T₈₀₁).

The spelling of 5361315840 in words is "five billion, three hundred sixty-one million, three hundred fifteen thousand, eight hundred forty".