1077102157824 has 672 divisors, whose sum is σ = 4023442515456. Its totient is φ = 279726981120.

The previous prime is 1077102157801. The next prime is 1077102157861. The reversal of 1077102157824 is 4287512017701.

It is a happy number.

1077102157824 is a `hidden beast` number, since 1 + 0 + 7 + 71 + 0 + 2 + 1 + 578 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 1077102157824.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153276999 + ... + 153284025.

It is an arithmetic number, because the mean of its divisors is an integer number (5987265648).

Almost surely, 2^{1077102157824} is an apocalyptic number.

1077102157824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1077102157824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011721257728).

1077102157824 is an abundant number, since it is smaller than the sum of its proper divisors (2946340357632).

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

1077102157824 is an frugal number, since it uses more digits than its factorization.

1077102157824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7086 (or 7050 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 45.

The spelling of 1077102157824 in words is "one trillion, seventy-seven billion, one hundred two million, one hundred fifty-seven thousand, eight hundred twenty-four".