77052493056 has 288 divisors, whose sum is σ = 256604479488. Its totient is φ = 19940843520.

The previous prime is 77052492971. The next prime is 77052493057. The reversal of 77052493056 is 65039425077.

It is a super-2 number, since 2×77052493056² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 77052492996 and 77052493014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77052493057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17324625 + ... + 17329071.

It is an arithmetic number, because the mean of its divisors is an integer number (890987776).

Almost surely, 2^77052493056 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 77052493056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128302239744).

77052493056 is an abundant number, since it is smaller than the sum of its proper divisors (179551986432).

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

77052493056 is a wasteful number, since it uses less digits than its factorization.

77052493056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4777 (or 4763 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 48.

The spelling of 77052493056 in words is "seventy-seven billion, fifty-two million, four hundred ninety-three thousand, fifty-six".