61952827860 has 384 divisors, whose sum is σ = 240929095680. Its totient is φ = 12839731200.

The previous prime is 61952827841. The next prime is 61952827883. The reversal of 61952827860 is 6872825916.

61952827860 is a `hidden beast` number, since 6 + 19 + 528 + 27 + 86 + 0 = 666.

61952827860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 61952827797 and 61952827806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17919252 + ... + 17922708.

It is an arithmetic number, because the mean of its divisors is an integer number (627419520).

Almost surely, 2^61952827860 is an apocalyptic number.

61952827860 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

61952827860 is the 124452-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61952827860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120464547840).

61952827860 is an abundant number, since it is smaller than the sum of its proper divisors (178976267820).

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

61952827860 is a wasteful number, since it uses less digits than its factorization.

61952827860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3924 (or 3916 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 61952827860 in words is "sixty-one billion, nine hundred fifty-two million, eight hundred twenty-seven thousand, eight hundred sixty".