61283265120 has 1440 divisors, whose sum is σ = 284316189696. Its totient is φ = 12279859200.

The previous prime is 61283265119. The next prime is 61283265149. The reversal of 61283265120 is 2156238216.

61283265120 is a `hidden beast` number, since 61 + 2 + 83 + 2 + 6 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×61283265120² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 216548499 + ... + 216548781.

Almost surely, 2^61283265120 is an apocalyptic number.

61283265120 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 61283265120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142158094848).

61283265120 is an abundant number, since it is smaller than the sum of its proper divisors (223032924576).

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

61283265120 is a wasteful number, since it uses less digits than its factorization.

61283265120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 61283265120 in words is "sixty-one billion, two hundred eighty-three million, two hundred sixty-five thousand, one hundred twenty".