2768516150400 has 4608 divisors, whose sum is σ = 14715745632000. Its totient is φ = 497929420800.

The previous prime is 2768516150381. The next prime is 2768516150459. The reversal of 2768516150400 is 40516158672.

2768516150400 is a `hidden beast` number, since 2 + 7 + 6 + 85 + 1 + 61 + 504 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 10291881466 + ... + 10291881734.

Almost surely, 2^{2768516150400} is an apocalyptic number.

2768516150400 is a gapful number since it is divisible by the number (20) 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 2768516150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7357872816000).

2768516150400 is an abundant number, since it is smaller than the sum of its proper divisors (11947229481600).

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

2768516150400 is a wasteful number, since it uses less digits than its factorization.

2768516150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 2768516150400 in words is "two trillion, seven hundred sixty-eight billion, five hundred sixteen million, one hundred fifty thousand, four hundred".