1157901078600 has 864 divisors, whose sum is σ = 4648198389120. Its totient is φ = 253013483520.

The previous prime is 1157901078583. The next prime is 1157901078619. The reversal of 1157901078600 is 68701097511.

1157901078600 is a `hidden beast` number, since 1 + 1 + 579 + 0 + 1 + 0 + 78 + 6 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1197415317 + ... + 1197416283.

Almost surely, 2^{1157901078600} is an apocalyptic number.

1157901078600 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 1157901078600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324099194560).

1157901078600 is an abundant number, since it is smaller than the sum of its proper divisors (3490297310520).

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

1157901078600 is a wasteful number, since it uses less digits than its factorization.

1157901078600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 45.

The spelling of 1157901078600 in words is "one trillion, one hundred fifty-seven billion, nine hundred one million, seventy-eight thousand, six hundred".