5336948292480 has 768 divisors, whose sum is σ = 21480741734400. Its totient is φ = 1195734859776.

The previous prime is 5336948292457. The next prime is 5336948292499. The reversal of 5336948292480 is 842928496335.

It is a happy number.

5336948292480 is a `hidden beast` number, since 5 + 3 + 3 + 69 + 4 + 8 + 2 + 92 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 873045904 + ... + 873052016.

It is an arithmetic number, because the mean of its divisors is an integer number (27969715800).

Almost surely, 2^{5336948292480} 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 5336948292480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10740370867200).

5336948292480 is an abundant number, since it is smaller than the sum of its proper divisors (16143793441920).

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

5336948292480 is a wasteful number, since it uses less digits than its factorization.

5336948292480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6571 (or 6556 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 5336948292480 in words is "five trillion, three hundred thirty-six billion, nine hundred forty-eight million, two hundred ninety-two thousand, four hundred eighty".