61159227552000 has 1296 divisors, whose sum is σ = 234727372497072. Its totient is φ = 15866324582400.

The previous prime is 61159227551971. The next prime is 61159227552109. The reversal of 61159227552000 is 25572295116.

61159227552000 is a `hidden beast` number, since 6 + 1 + 1 + 5 + 92 + 2 + 7 + 552 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 24355883188224 + 36803344363776 = 4935168^2 + 6066576^2 .

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×61159227552000² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7768220064 + ... + 7768227936.

Almost surely, 2^{61159227552000} is an apocalyptic number.

61159227552000 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 61159227552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117363686248536).

61159227552000 is an abundant number, since it is smaller than the sum of its proper divisors (173568144945072).

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

61159227552000 is an frugal number, since it uses more digits than its factorization.

61159227552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7965 (or 7920 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 61159227552000 in words is "sixty-one trillion, one hundred fifty-nine billion, two hundred twenty-seven million, five hundred fifty-two thousand".