61153664000 has 528 divisors, whose sum is σ = 180923292576. Its totient is φ = 20447232000.

The previous prime is 61153663993. The next prime is 61153664087. The reversal of 61153664000 is 46635116.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 237951872 + ... + 237952128.

Almost surely, 2^61153664000 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 61153664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90461646288).

61153664000 is an abundant number, since it is smaller than the sum of its proper divisors (119769628576).

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

61153664000 is a wasteful number, since it uses less digits than its factorization.

61153664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The spelling of 61153664000 in words is "sixty-one billion, one hundred fifty-three million, six hundred sixty-four thousand".