85631990400 has 576 divisors, whose sum is σ = 344511283200. Its totient is φ = 20756736000.

The previous prime is 85631990383. The next prime is 85631990417. The reversal of 85631990400 is 409913658.

It is a happy number.

85631990400 is a `hidden beast` number, since 8 + 5 + 631 + 9 + 9 + 0 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (85631990383) and next prime (85631990417).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10450305 + ... + 10458495.

Almost surely, 2^85631990400 is an apocalyptic number.

85631990400 is a gapful number since it is divisible by the number (80) 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 85631990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172255641600).

85631990400 is an abundant number, since it is smaller than the sum of its proper divisors (258879292800).

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

85631990400 is a wasteful number, since it uses less digits than its factorization.

85631990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8246 (or 8212 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 85631990400 in words is "eighty-five billion, six hundred thirty-one million, nine hundred ninety thousand, four hundred".