1012673623500 has 1440 divisors, whose sum is σ = 4236211115136. Its totient is φ = 206084736000.

The previous prime is 1012673623411. The next prime is 1012673623531. The reversal of 1012673623500 is 53263762101.

1012673623500 is a `hidden beast` number, since 1 + 0 + 1 + 26 + 7 + 3 + 623 + 5 + 0 + 0 = 666.

1012673623500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1012673623500³ (a number of 37 digits) contains 333 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 479 ways as a sum of consecutive naturals, for example, 1818085222 + ... + 1818085778.

Almost surely, 2^{1012673623500} is an apocalyptic number.

1012673623500 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 1012673623500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2118105557568).

1012673623500 is an abundant number, since it is smaller than the sum of its proper divisors (3223537491636).

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

1012673623500 is a wasteful number, since it uses less digits than its factorization.

1012673623500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 1012673623500 in words is "one trillion, twelve billion, six hundred seventy-three million, six hundred twenty-three thousand, five hundred".