61527471120 has 240 divisors, whose sum is σ = 215933357952. Its totient is φ = 15670702080.

The previous prime is 61527471113. The next prime is 61527471133. The reversal of 61527471120 is 2117472516.

61527471120 is a `hidden beast` number, since 6 + 1 + 527 + 4 + 7 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-4 number, since 4×61527471120⁴ (a number of 44 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 13030360 + ... + 13035080.

Almost surely, 2^61527471120 is an apocalyptic number.

61527471120 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 61527471120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107966678976).

61527471120 is an abundant number, since it is smaller than the sum of its proper divisors (154405886832).

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

61527471120 is a wasteful number, since it uses less digits than its factorization.

61527471120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5550 (or 5541 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 61527471120 in words is "sixty-one billion, five hundred twenty-seven million, four hundred seventy-one thousand, one hundred twenty".