1133955158400 has 480 divisors, whose sum is σ = 4197503585880. Its totient is φ = 301451673600.

The previous prime is 1133955158363. The next prime is 1133955158423. The reversal of 1133955158400 is 48515593311.

1133955158400 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 9 + 551 + 58 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 59 ways as a sum of consecutive naturals, for example, 85788592 + ... + 85801808.

Almost surely, 2^{1133955158400} is an apocalyptic number.

1133955158400 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 1133955158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2098751792940).

1133955158400 is an abundant number, since it is smaller than the sum of its proper divisors (3063548427480).

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

1133955158400 is a wasteful number, since it uses less digits than its factorization.

1133955158400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13584 (or 13558 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 1133955158400 in words is "one trillion, one hundred thirty-three billion, nine hundred fifty-five million, one hundred fifty-eight thousand, four hundred".