1157608647936 has 1152 divisors, whose sum is σ = 4071255552000. Its totient is φ = 321220214784.

The previous prime is 1157608647931. The next prime is 1157608647941. The reversal of 1157608647936 is 6397468067511.

1157608647936 is a `hidden beast` number, since 1 + 1 + 57 + 6 + 0 + 86 + 479 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (1157608647931) and next prime (1157608647941).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157608647931) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5099597455 + ... + 5099597681.

It is an arithmetic number, because the mean of its divisors is an integer number (3534076000).

Almost surely, 2^{1157608647936} is an apocalyptic number.

1157608647936 is a gapful number since it is divisible by the number (16) 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 1157608647936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035627776000).

1157608647936 is an abundant number, since it is smaller than the sum of its proper divisors (2913646904064).

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

1157608647936 is a wasteful number, since it uses less digits than its factorization.

1157608647936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 1157608647936 in words is "one trillion, one hundred fifty-seven billion, six hundred eight million, six hundred forty-seven thousand, nine hundred thirty-six".