61920000000 has 576 divisors, whose sum is σ = 228743555040. Its totient is φ = 16128000000.

The previous prime is 61919999989. The next prime is 61920000013. The reversal of 61920000000 is 2916.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 1439999979 + ... + 1440000021.

Almost surely, 2^61920000000 is an apocalyptic number.

61920000000 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 61920000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114371777520).

61920000000 is an abundant number, since it is smaller than the sum of its proper divisors (166823555040).

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

61920000000 is an frugal number, since it uses more digits than its factorization.

61920000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 61920000000 its reverse (2916), we get a palindrome (61920002916).

The spelling of 61920000000 in words is "sixty-one billion, nine hundred twenty million", and thus it is an aban number.