77118125490 has 256 divisors, whose sum is σ = 253435392000. Its totient is φ = 16291653120.

The previous prime is 77118125479. The next prime is 77118125519. The reversal of 77118125490 is 9452181177.

It is a happy number.

77118125490 is a `hidden beast` number, since 77 + 11 + 81 + 2 + 5 + 490 = 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 (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1446121 + ... + 1498499.

It is an arithmetic number, because the mean of its divisors is an integer number (989982000).

Almost surely, 2^77118125490 is an apocalyptic number.

77118125490 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 77118125490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126717696000).

77118125490 is an abundant number, since it is smaller than the sum of its proper divisors (176317266510).

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

77118125490 is a wasteful number, since it uses less digits than its factorization.

77118125490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52462 (or 52456 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 77118125490 in words is "seventy-seven billion, one hundred eighteen million, one hundred twenty-five thousand, four hundred ninety".