1516152280896 has 1008 divisors, whose sum is σ = 5231737405440. Its totient is φ = 415982960640.

The previous prime is 1516152280861. The next prime is 1516152280931. The reversal of 1516152280896 is 6980822516151.

1516152280896 is a `hidden beast` number, since 1 + 51 + 61 + 522 + 8 + 0 + 8 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1516152280861) and next prime (1516152280931).

It is a super-2 number, since 2×1516152280896² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6798889041 + ... + 6798889263.

It is an arithmetic number, because the mean of its divisors is an integer number (5190215680).

Almost surely, 2^{1516152280896} is an apocalyptic number.

1516152280896 is a gapful number since it is divisible by the number (16) 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 1516152280896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615868702720).

1516152280896 is an abundant number, since it is smaller than the sum of its proper divisors (3715585124544).

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

1516152280896 is a wasteful number, since it uses less digits than its factorization.

1516152280896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 1516152280896 in words is "one trillion, five hundred sixteen billion, one hundred fifty-two million, two hundred eighty thousand, eight hundred ninety-six".