1157763967920 has 1200 divisors, whose sum is σ = 5039413885440. Its totient is φ = 244818588672.

The previous prime is 1157763967861. The next prime is 1157763967949. The reversal of 1157763967920 is 297693677511.

1157763967920 is a `hidden beast` number, since 1 + 1 + 577 + 6 + 39 + 6 + 7 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 259411609 + ... + 259416071.

Almost surely, 2^{1157763967920} is an apocalyptic number.

1157763967920 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 1157763967920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519706942720).

1157763967920 is an abundant number, since it is smaller than the sum of its proper divisors (3881649917520).

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

1157763967920 is a wasteful number, since it uses less digits than its factorization.

1157763967920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4564 (or 4542 counting only the distinct ones).

The product of its (nonzero) digits is 30005640, while the sum is 63.

The spelling of 1157763967920 in words is "one trillion, one hundred fifty-seven billion, seven hundred sixty-three million, nine hundred sixty-seven thousand, nine hundred twenty".