1023609699072 has 288 divisors, whose sum is σ = 3289106688000. Its totient is φ = 312816660480.

The previous prime is 1023609699067. The next prime is 1023609699113. The reversal of 1023609699072 is 2709969063201.

1023609699072 is a `hidden beast` number, since 1 + 0 + 23 + 609 + 6 + 9 + 9 + 0 + 7 + 2 = 666.

1023609699072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1023609699072² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3945454 + ... + 4196882.

Almost surely, 2^{1023609699072} is an apocalyptic number.

1023609699072 is a gapful number since it is divisible by the number (12) 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 1023609699072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644553344000).

1023609699072 is an abundant number, since it is smaller than the sum of its proper divisors (2265496988928).

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

1023609699072 is a wasteful number, since it uses less digits than its factorization.

1023609699072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251504 (or 251484 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 1023609699072 in words is "one trillion, twenty-three billion, six hundred nine million, six hundred ninety-nine thousand, seventy-two".