1016056551510 has 768 divisors, whose sum is σ = 3793474944000. Its totient is φ = 190120089600.

The previous prime is 1016056551509. The next prime is 1016056551511. The reversal of 1016056551510 is 151556506101.

It is a happy number.

1016056551510 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 0 + 56 + 551 + 51 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1016056551509) and next prime (1016056551511).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1016056551511) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 77560941 + ... + 77574039.

It is an arithmetic number, because the mean of its divisors is an integer number (4939420500).

Almost surely, 2^{1016056551510} is an apocalyptic number.

1016056551510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1016056551510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896737472000).

1016056551510 is an abundant number, since it is smaller than the sum of its proper divisors (2777418392490).

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

1016056551510 is a wasteful number, since it uses less digits than its factorization.

1016056551510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13194 (or 13181 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

The spelling of 1016056551510 in words is "one trillion, sixteen billion, fifty-six million, five hundred fifty-one thousand, five hundred ten".