1151584106400 has 1152 divisors, whose sum is σ = 5291661312000. Its totient is φ = 235121356800.

The previous prime is 1151584106363. The next prime is 1151584106423. The reversal of 1151584106400 is 46014851511.

1151584106400 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 5 + 8 + 4 + 1 + 0 + 640 + 0 = 666.

It is a super-2 number, since 2×1151584106400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60924151 + ... + 60943049.

It is an arithmetic number, because the mean of its divisors is an integer number (4593456000).

Almost surely, 2^{1151584106400} is an apocalyptic number.

1151584106400 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 1151584106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2645830656000).

1151584106400 is an abundant number, since it is smaller than the sum of its proper divisors (4140077205600).

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

1151584106400 is a wasteful number, since it uses less digits than its factorization.

1151584106400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18979 (or 18960 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

Adding to 1151584106400 its reverse (46014851511), we get a palindrome (1197598957911).

The spelling of 1151584106400 in words is "one trillion, one hundred fifty-one billion, five hundred eighty-four million, one hundred six thousand, four hundred".