61854927120 has 240 divisors, whose sum is σ = 249900493440. Its totient is φ = 13394128896.

The previous prime is 61854927107. The next prime is 61854927133. The reversal of 61854927120 is 2172945816.

61854927120 is a `hidden beast` number, since 6 + 18 + 549 + 2 + 71 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (61854927107) and next prime (61854927133).

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

It is a super-2 number, since 2×61854927120² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227209 + ... + 418728.

It is an arithmetic number, because the mean of its divisors is an integer number (1041252056).

Almost surely, 2^61854927120 is an apocalyptic number.

61854927120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61854927120 is an abundant number, since it is smaller than the sum of its proper divisors (188045566320).

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

61854927120 is a wasteful number, since it uses less digits than its factorization.

61854927120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645982 (or 645973 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 61854927120 in words is "sixty-one billion, eight hundred fifty-four million, nine hundred twenty-seven thousand, one hundred twenty".