1288978976376 has 512 divisors, whose sum is σ = 4723691212800. Its totient is φ = 319946692608.

The previous prime is 1288978976357. The next prime is 1288978976381. The reversal of 1288978976376 is 6736798798821.

1288978976376 is a `hidden beast` number, since 1 + 2 + 88 + 97 + 89 + 7 + 6 + 376 = 666.

It is a super-2 number, since 2×1288978976376² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1288978976295 and 1288978976304.

It is a congruent number.

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, 27042501 + ... + 27090123.

It is an arithmetic number, because the mean of its divisors is an integer number (9225959400).

Almost surely, 2^{1288978976376} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1288978976376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2361845606400).

1288978976376 is an abundant number, since it is smaller than the sum of its proper divisors (3434712236424).

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

1288978976376 is a wasteful number, since it uses less digits than its factorization.

1288978976376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47687 (or 47665 counting only the distinct ones).

The product of its digits is 3072577536, while the sum is 81.

The spelling of 1288978976376 in words is "one trillion, two hundred eighty-eight billion, nine hundred seventy-eight million, nine hundred seventy-six thousand, three hundred seventy-six".