42516651160 has 192 divisors, whose sum is σ = 105455973600. Its totient is φ = 15411511296.

The previous prime is 42516651137. The next prime is 42516651179. The reversal of 42516651160 is 6115661524.

It is a super-2 number, since 2×42516651160² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

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, 45765576 + ... + 45766504.

Almost surely, 2^42516651160 is an apocalyptic number.

42516651160 is a gapful number since it is divisible by the number (40) 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 42516651160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52727986800).

42516651160 is an abundant number, since it is smaller than the sum of its proper divisors (62939322440).

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

42516651160 is a wasteful number, since it uses less digits than its factorization.

42516651160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 42516651160 in words is "forty-two billion, five hundred sixteen million, six hundred fifty-one thousand, one hundred sixty".