1008528998400 has 3240 divisors, whose sum is σ = 5058081887040. Its totient is φ = 186856243200.

The previous prime is 1008528998371. The next prime is 1008528998527. The reversal of 1008528998400 is 48998258001.

1008528998400 is a `hidden beast` number, since 100 + 8 + 52 + 89 + 9 + 8 + 400 = 666.

It is a super-2 number, since 2×1008528998400² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 53080473591 + ... + 53080473609.

Almost surely, 2^{1008528998400} is an apocalyptic number.

1008528998400 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 1008528998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529040943520).

1008528998400 is an abundant number, since it is smaller than the sum of its proper divisors (4049552888640).

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

1008528998400 is a wasteful number, since it uses less digits than its factorization.

1008528998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 1008528998400 in words is "one trillion, eight billion, five hundred twenty-eight million, nine hundred ninety-eight thousand, four hundred".