1157828651520 has 640 divisors, whose sum is σ = 4031399116800. Its totient is φ = 282524516352.

The previous prime is 1157828651513. The next prime is 1157828651537. The reversal of 1157828651520 is 251568287511.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 541799892 + ... + 541802028.

It is an arithmetic number, because the mean of its divisors is an integer number (6299061120).

Almost surely, 2^{1157828651520} is an apocalyptic number.

1157828651520 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 1157828651520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015699558400).

1157828651520 is an abundant number, since it is smaller than the sum of its proper divisors (2873570465280).

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

1157828651520 is a wasteful number, since it uses less digits than its factorization.

1157828651520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2308 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 51.

The spelling of 1157828651520 in words is "one trillion, one hundred fifty-seven billion, eight hundred twenty-eight million, six hundred fifty-one thousand, five hundred twenty".