61002563160 has 256 divisors, whose sum is σ = 228362664960. Its totient is φ = 12664903680.

The previous prime is 61002563147. The next prime is 61002563177. The reversal of 61002563160 is 6136520016.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14902074 + ... + 14906166.

It is an arithmetic number, because the mean of its divisors is an integer number (892041660).

Almost surely, 2^61002563160 is an apocalyptic number.

61002563160 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 61002563160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114181332480).

61002563160 is an abundant number, since it is smaller than the sum of its proper divisors (167360101800).

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

61002563160 is a wasteful number, since it uses less digits than its factorization.

61002563160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5738 (or 5734 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 61002563160 in words is "sixty-one billion, two million, five hundred sixty-three thousand, one hundred sixty".