8970053400 has 1344 divisors, whose sum is σ = 42155873280. Its totient is φ = 1716940800.

The previous prime is 8970053381. The next prime is 8970053401. The reversal of 8970053400 is 43500798.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8970053401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 190852177 + ... + 190852223.

Almost surely, 2^8970053400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8970053400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21077936640).

8970053400 is an abundant number, since it is smaller than the sum of its proper divisors (33185819880).

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

8970053400 is a wasteful number, since it uses less digits than its factorization.

8970053400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 8970053400 is about 94710.3658529519. The cubic root of 8970053400 is about 2077.7741691361.

The spelling of 8970053400 in words is "eight billion, nine hundred seventy million, fifty-three thousand, four hundred".