1072005399900 has 144 divisors (see below), whose sum is σ = 3447487680000. Its totient is φ = 285769494720.

The previous prime is 1072005399851. The next prime is 1072005399911. The reversal of 1072005399900 is 99935002701.

It is a happy number.

1072005399900 is a `hidden beast` number, since 1 + 0 + 7 + 20 + 0 + 539 + 9 + 90 + 0 = 666.

It is a super-2 number, since 2×1072005399900² (a number of 25 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7933101 + ... + 8067099.

Almost surely, 2^{1072005399900} is an apocalyptic number.

1072005399900 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 1072005399900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723743840000).

1072005399900 is an abundant number, since it is smaller than the sum of its proper divisors (2375482280100).

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

1072005399900 is a wasteful number, since it uses less digits than its factorization.

1072005399900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136985 (or 136972 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The spelling of 1072005399900 in words is "one trillion, seventy-two billion, five million, three hundred ninety-nine thousand, nine hundred".