65253767344900 has 72 divisors (see below), whose sum is σ = 143985457925960. Its totient is φ = 25662292992000.

The previous prime is 65253767344867. The next prime is 65253767344967. The reversal of 65253767344900 is 944376735256.

It can be written as a sum of positive squares in 12 ways, for example, as 32183745917184 + 33070021427716 = 5673072^2 + 5750654^2 .

It is a hoax number, since the sum of its digits (61) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11483620 + ... + 16198180.

Almost surely, 2^{65253767344900} 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 65253767344900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71992728962980).

65253767344900 is an abundant number, since it is smaller than the sum of its proper divisors (78731690581060).

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

65253767344900 is a wasteful number, since it uses less digits than its factorization.

65253767344900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4716905 (or 4716898 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 61.

The spelling of 65253767344900 in words is "sixty-five trillion, two hundred fifty-three billion, seven hundred sixty-seven million, three hundred forty-four thousand, nine hundred".