127821657503000 has 64 divisors (see below), whose sum is σ = 299138174824320. Its totient is φ = 51122595264000.

The previous prime is 127821657502961. The next prime is 127821657503069. The reversal of 127821657503000 is 305756128721.

It is a super-2 number, since 2×127821657503000² (a number of 29 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 15 ways as a sum of consecutive naturals, for example, 850544 + ... + 16011456.

It is an arithmetic number, because the mean of its divisors is an integer number (4674033981630).

Almost surely, 2^{127821657503000} is an apocalyptic number.

127821657503000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127821657503000 is an abundant number, since it is smaller than the sum of its proper divisors (171316517321320).

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

127821657503000 is a wasteful number, since it uses less digits than its factorization.

127821657503000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15169365 (or 15169351 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 47.

The spelling of 127821657503000 in words is "one hundred twenty-seven trillion, eight hundred twenty-one billion, six hundred fifty-seven million, five hundred three thousand".