61657011655100 has 72 divisors (see below), whose sum is σ = 135805469560320. Its totient is φ = 24292412464320.

The previous prime is 61657011655079. The next prime is 61657011655157. The reversal of 61657011655100 is 155611075616.

It is a happy number.

It is a congruent number.

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, 71522837 + ... + 72379763.

Almost surely, 2^{61657011655100} 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 61657011655100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67902734780160).

61657011655100 is an abundant number, since it is smaller than the sum of its proper divisors (74148457905220).

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

61657011655100 is a wasteful number, since it uses less digits than its factorization.

61657011655100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867747 (or 867740 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 44.

The spelling of 61657011655100 in words is "sixty-one trillion, six hundred fifty-seven billion, eleven million, six hundred fifty-five thousand, one hundred".