77514376552140 has 384 divisors, whose sum is σ = 250603162951680. Its totient is φ = 17704694016000.

The previous prime is 77514376552127. The next prime is 77514376552177. The reversal of 77514376552140 is 4125567341577.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 1982090467 + ... + 1982129573.

It is an arithmetic number, because the mean of its divisors is an integer number (652612403520).

Almost surely, 2^{77514376552140} 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 77514376552140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125301581475840).

77514376552140 is an abundant number, since it is smaller than the sum of its proper divisors (173088786399540).

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

77514376552140 is a wasteful number, since it uses less digits than its factorization.

77514376552140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40013 (or 40011 counting only the distinct ones).

The product of its (nonzero) digits is 24696000, while the sum is 57.

The spelling of 77514376552140 in words is "seventy-seven trillion, five hundred fourteen billion, three hundred seventy-six million, five hundred fifty-two thousand, one hundred forty".