1291515058080 has 768 divisors, whose sum is σ = 4923449879040. Its totient is φ = 314316619776.

The previous prime is 1291515058049. The next prime is 1291515058133. The reversal of 1291515058080 is 808505151921.

It is a happy number.

1291515058080 is a `hidden beast` number, since 1 + 2 + 9 + 1 + 515 + 0 + 58 + 0 + 80 = 666.

It is a super-3 number, since 3×1291515058080³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2982713544 + ... + 2982713976.

It is an arithmetic number, because the mean of its divisors is an integer number (6410742030).

Almost surely, 2^{1291515058080} is an apocalyptic number.

1291515058080 is a gapful number since it is divisible by the number (10) 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 1291515058080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2461724939520).

1291515058080 is an abundant number, since it is smaller than the sum of its proper divisors (3631934820960).

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

1291515058080 is a wasteful number, since it uses less digits than its factorization.

1291515058080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 45.

The spelling of 1291515058080 in words is "one trillion, two hundred ninety-one billion, five hundred fifteen million, fifty-eight thousand, eighty".