980146072800 has 360 divisors, whose sum is σ = 3671016586776. Its totient is φ = 254307548160.

The previous prime is 980146072793. The next prime is 980146072817. The reversal of 980146072800 is 8270641089.

980146072800 is a `hidden beast` number, since 9 + 8 + 0 + 14 + 607 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2193199 + ... + 2602001.

Almost surely, 2^980146072800 is an apocalyptic number.

980146072800 is a gapful number since it is divisible by the number (90) 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 980146072800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1835508293388).

980146072800 is an abundant number, since it is smaller than the sum of its proper divisors (2690870513976).

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

980146072800 is a wasteful number, since it uses less digits than its factorization.

980146072800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408872 (or 408850 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 980146072800 in words is "nine hundred eighty billion, one hundred forty-six million, seventy-two thousand, eight hundred".