61113561600 has 480 divisors, whose sum is σ = 248487845760. Its totient is φ = 12893552640.

The previous prime is 61113561571. The next prime is 61113561643. The reversal of 61113561600 is 616531116.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×61113561600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 3485656 + ... + 3503144.

It is an arithmetic number, because the mean of its divisors is an integer number (517683012).

Almost surely, 2^61113561600 is an apocalyptic number.

61113561600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61113561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124243922880).

61113561600 is an abundant number, since it is smaller than the sum of its proper divisors (187374284160).

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

61113561600 is a wasteful number, since it uses less digits than its factorization.

61113561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17540 (or 17519 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The spelling of 61113561600 in words is "sixty-one billion, one hundred thirteen million, five hundred sixty-one thousand, six hundred".