128357570250000 has 2835 divisors, whose sum is σ = 572499533025459. Its totient is φ = 26755747200000.

The previous prime is 128357570249983. The next prime is 128357570250011. The reversal of 128357570250000 is 52075753821.

The square root of 128357570250000 is 11329500.

It is a perfect power (a square), and thus also a powerful number.

128357570250000 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 5 + 75 + 70 + 2 + 500 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 60215054746896 + 68142515503104 = 7759836^2 + 8254848^2 .

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 566 ways as a sum of consecutive naturals, for example, 1546476749959 + ... + 1546476750041.

Almost surely, 2^{128357570250000} is an apocalyptic number.

128357570250000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

128357570250000 is the 11329500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128357570250000

128357570250000 is an abundant number, since it is smaller than the sum of its proper divisors (444141962775459).

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

128357570250000 is an frugal number, since it uses more digits than its factorization.

128357570250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 128357570250000 in words is "one hundred twenty-eight trillion, three hundred fifty-seven billion, five hundred seventy million, two hundred fifty thousand".