61653577535616 has 128 divisors (see below), whose sum is σ = 183483773904960. Its totient is φ = 18177958932480.

The previous prime is 61653577535609. The next prime is 61653577535617.

It is a happy number.

61653577535616 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (61653577535617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197087191 + ... + 197399766.

Almost surely, 2^{61653577535616} is an apocalyptic number.

61653577535616 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

61653577535616 is an abundant number, since it is smaller than the sum of its proper divisors (121830196369344).

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

61653577535616 is a wasteful number, since it uses less digits than its factorization.

61653577535616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394487022 (or 394487010 counting only the distinct ones).

The product of its digits is 357210000, while the sum is 66.

The spelling of 61653577535616 in words is "sixty-one trillion, six hundred fifty-three billion, five hundred seventy-seven million, five hundred thirty-five thousand, six hundred sixteen".