61876532520 has 384 divisors, whose sum is σ = 225871027200. Its totient is φ = 14560358400.

The previous prime is 61876532519. The next prime is 61876532537. The reversal of 61876532520 is 2523567816.

61876532520 is a `hidden beast` number, since 6 + 1 + 8 + 76 + 53 + 2 + 520 = 666.

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 95 ways as a sum of consecutive naturals, for example, 36205426 + ... + 36207134.

It is an arithmetic number, because the mean of its divisors is an integer number (588205800).

Almost surely, 2^61876532520 is an apocalyptic number.

61876532520 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 61876532520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112935513600).

61876532520 is an abundant number, since it is smaller than the sum of its proper divisors (163994494680).

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

61876532520 is a wasteful number, since it uses less digits than its factorization.

61876532520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 61876532520 in words is "sixty-one billion, eight hundred seventy-six million, five hundred thirty-two thousand, five hundred twenty".