1023078297600 has 1248 divisors, whose sum is σ = 3941422703040. Its totient is φ = 259900047360.

The previous prime is 1023078297539. The next prime is 1023078297601. The reversal of 1023078297600 is 67928703201.

1023078297600 is a `hidden beast` number, since 1 + 0 + 2 + 30 + 7 + 8 + 2 + 9 + 7 + 600 = 666.

It is a super-2 number, since 2×1023078297600² (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 not an unprimeable number, because it can be changed into a prime (1023078297601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7467724732 + ... + 7467724868.

Almost surely, 2^{1023078297600} is an apocalyptic number.

1023078297600 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 1023078297600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1970711351520).

1023078297600 is an abundant number, since it is smaller than the sum of its proper divisors (2918344405440).

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

1023078297600 is a wasteful number, since it uses less digits than its factorization.

1023078297600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 1023078297600 in words is "one trillion, twenty-three billion, seventy-eight million, two hundred ninety-seven thousand, six hundred".