1149577949520 has 1440 divisors, whose sum is σ = 5308184254464. Its totient is φ = 219160166400.

The previous prime is 1149577949501. The next prime is 1149577949551. The reversal of 1149577949520 is 259497759411.

1149577949520 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 57 + 79 + 495 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 963602044 + ... + 963603236.

Almost surely, 2^{1149577949520} is an apocalyptic number.

1149577949520 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 1149577949520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654092127232).

1149577949520 is an abundant number, since it is smaller than the sum of its proper divisors (4158606304944).

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

1149577949520 is a wasteful number, since it uses less digits than its factorization.

1149577949520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 63.

The spelling of 1149577949520 in words is "one trillion, one hundred forty-nine billion, five hundred seventy-seven million, nine hundred forty-nine thousand, five hundred twenty".