61516361462010 has 256 divisors, whose sum is σ = 184222726410240. Its totient is φ = 12800336762880.

The previous prime is 61516361461999. The next prime is 61516361462047. The reversal of 61516361462010 is 1026416361516.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 128691145 + ... + 129168275.

It is an arithmetic number, because the mean of its divisors is an integer number (719620025040).

Almost surely, 2^{61516361462010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61516361462010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92111363205120).

61516361462010 is an abundant number, since it is smaller than the sum of its proper divisors (122706364948230).

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

61516361462010 is a wasteful number, since it uses less digits than its factorization.

61516361462010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477813.

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 61516361462010 in words is "sixty-one trillion, five hundred sixteen billion, three hundred sixty-one million, four hundred sixty-two thousand, ten".