1086357451200 has 672 divisors, whose sum is σ = 4251687874560. Its totient is φ = 237667123200.

The previous prime is 1086357451199. The next prime is 1086357451217. The reversal of 1086357451200 is 21547536801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73005361 + ... + 73020239.

It is an arithmetic number, because the mean of its divisors is an integer number (6326916480).

Almost surely, 2^{1086357451200} is an apocalyptic number.

1086357451200 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 1086357451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125843937280).

1086357451200 is an abundant number, since it is smaller than the sum of its proper divisors (3165330423360).

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

1086357451200 is a wasteful number, since it uses less digits than its factorization.

1086357451200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15005 (or 14990 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 1086357451200 in words is "one trillion, eighty-six billion, three hundred fifty-seven million, four hundred fifty-one thousand, two hundred".