978774451200 has 3564 divisors, whose sum is σ = 4818777359760. Its totient is φ = 195641671680.

The previous prime is 978774451199. The next prime is 978774451217. The reversal of 978774451200 is 2154477879.

978774451200 is a `hidden beast` number, since 9 + 7 + 8 + 77 + 445 + 120 + 0 = 666.

It is a super-2 number, since 2×978774451200² (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 323 ways as a sum of consecutive naturals, for example, 51514444791 + ... + 51514444809.

Almost surely, 2^978774451200 is an apocalyptic number.

978774451200 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 978774451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2409388679880).

978774451200 is an abundant number, since it is smaller than the sum of its proper divisors (3840002908560).

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

978774451200 is a wasteful number, since it uses less digits than its factorization.

978774451200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 978774451200 in words is "nine hundred seventy-eight billion, seven hundred seventy-four million, four hundred fifty-one thousand, two hundred".