48202578900 has 1152 divisors, whose sum is σ = 197320704000. Its totient is φ = 10059033600.

The previous prime is 48202578883. The next prime is 48202578967. The reversal of 48202578900 is 987520284.

It is a super-2 number, since 2×48202578900² (a number of 22 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 660309264 + ... + 660309336.

Almost surely, 2^48202578900 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 48202578900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98660352000).

48202578900 is an abundant number, since it is smaller than the sum of its proper divisors (149118125100).

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

48202578900 is a wasteful number, since it uses less digits than its factorization.

48202578900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 48202578900 in words is "forty-eight billion, two hundred two million, five hundred seventy-eight thousand, nine hundred".