77225189351040 has 384 divisors, whose sum is σ = 284224550987520. Its totient is φ = 19253646950400.

The previous prime is 77225189350997. The next prime is 77225189351131. The reversal of 77225189351040 is 4015398152277.

77225189351040 is a `hidden beast` number, since 7 + 7 + 2 + 2 + 5 + 1 + 89 + 3 + 510 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12174477 + ... + 17397363.

It is an arithmetic number, because the mean of its divisors is an integer number (740168101530).

Almost surely, 2^{77225189351040} 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 77225189351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142112275493760).

77225189351040 is an abundant number, since it is smaller than the sum of its proper divisors (206999361636480).

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

77225189351040 is a wasteful number, since it uses less digits than its factorization.

77225189351040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5223080 (or 5223065 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 77225189351040 in words is "seventy-seven trillion, two hundred twenty-five billion, one hundred eighty-nine million, three hundred fifty-one thousand, forty".