65354761056 has 192 divisors, whose sum is σ = 186270271488. Its totient is φ = 19944880128.

The previous prime is 65354760983. The next prime is 65354761081. The reversal of 65354761056 is 65016745356.

65354761056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 65354760996 and 65354761014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134198445 + ... + 134198931.

It is an arithmetic number, because the mean of its divisors is an integer number (970157664).

Almost surely, 2^65354761056 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 65354761056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93135135744).

65354761056 is an abundant number, since it is smaller than the sum of its proper divisors (120915510432).

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

65354761056 is a wasteful number, since it uses less digits than its factorization.

65354761056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 48.

The spelling of 65354761056 in words is "sixty-five billion, three hundred fifty-four million, seven hundred sixty-one thousand, fifty-six".