5306777892240 has 320 divisors, whose sum is σ = 18823778058240. Its totient is φ = 1225088133120.

The previous prime is 5306777892223. The next prime is 5306777892329. The reversal of 5306777892240 is 422987776035.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4013001 + ... + 5168919.

It is an arithmetic number, because the mean of its divisors is an integer number (58824306432).

Almost surely, 2^{5306777892240} 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 5306777892240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9411889029120).

5306777892240 is an abundant number, since it is smaller than the sum of its proper divisors (13517000166000).

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

5306777892240 is a wasteful number, since it uses less digits than its factorization.

5306777892240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156030 (or 1156024 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 60.

The spelling of 5306777892240 in words is "five trillion, three hundred six billion, seven hundred seventy-seven million, eight hundred ninety-two thousand, two hundred forty".