1151635436640 has 288 divisors, whose sum is σ = 4389012534816. Its totient is φ = 283479367680.

The previous prime is 1151635436629. The next prime is 1151635436671. The reversal of 1151635436640 is 466345361511.

1151635436640 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 6 + 3 + 543 + 66 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 633801 + ... + 1644680.

It is an arithmetic number, because the mean of its divisors is an integer number (15239626857).

Almost surely, 2^{1151635436640} is an apocalyptic number.

1151635436640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1151635436640 is an abundant number, since it is smaller than the sum of its proper divisors (3237377098176).

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

1151635436640 is a wasteful number, since it uses less digits than its factorization.

1151635436640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278524 (or 2278504 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 1151635436640 in words is "one trillion, one hundred fifty-one billion, six hundred thirty-five million, four hundred thirty-six thousand, six hundred forty".