787150837122048 has 3520 divisors, whose sum is σ = 3013662529253376. Its totient is φ = 199511506944000.

The previous prime is 787150837122043. The next prime is 787150837122071. The reversal of 787150837122048 is 840221738051787.

787150837122048 is a `hidden beast` number, since 7 + 8 + 7 + 1 + 50 + 8 + 371 + 2 + 204 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (787150837122043) by changing a digit.

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 319 ways as a sum of consecutive naturals, for example, 3378329772940 + ... + 3378329773172.

Almost surely, 2^{787150837122048} 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 787150837122048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506831264626688).

787150837122048 is an abundant number, since it is smaller than the sum of its proper divisors (2226511692131328).

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

787150837122048 is a wasteful number, since it uses less digits than its factorization.

787150837122048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 42147840, while the sum is 63.

The spelling of 787150837122048 in words is "seven hundred eighty-seven trillion, one hundred fifty billion, eight hundred thirty-seven million, one hundred twenty-two thousand, forty-eight".