1157789606400 has 360 divisors, whose sum is σ = 4735328330304. Its totient is φ = 264637440000.

The previous prime is 1157789606381. The next prime is 1157789606401. The reversal of 1157789606400 is 46069877511.

1157789606400 is a `hidden beast` number, since 1 + 1 + 577 + 8 + 9 + 6 + 0 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (1157789606401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 88525 + ... + 1524275.

Almost surely, 2^{1157789606400} is an apocalyptic number.

1157789606400 is a gapful number since it is divisible by the number (10) 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 1157789606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2367664165152).

1157789606400 is an abundant number, since it is smaller than the sum of its proper divisors (3577538723904).

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

1157789606400 is a wasteful number, since it uses less digits than its factorization.

1157789606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435792 (or 1435768 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 1157789606400 in words is "one trillion, one hundred fifty-seven billion, seven hundred eighty-nine million, six hundred six thousand, four hundred".