1025550979200 has 1152 divisors, whose sum is σ = 4229669283840. Its totient is φ = 243233280000.

The previous prime is 1025550979157. The next prime is 1025550979217. The reversal of 1025550979200 is 29790555201.

1025550979200 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 550 + 9 + 7 + 92 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 402017925 + ... + 402020475.

It is an arithmetic number, because the mean of its divisors is an integer number (3671587920).

Almost surely, 2^{1025550979200} is an apocalyptic number.

1025550979200 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 1025550979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2114834641920).

1025550979200 is an abundant number, since it is smaller than the sum of its proper divisors (3204118304640).

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

1025550979200 is a wasteful number, since it uses less digits than its factorization.

1025550979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2648 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 45.

The spelling of 1025550979200 in words is "one trillion, twenty-five billion, five hundred fifty million, nine hundred seventy-nine thousand, two hundred".