53957721000 has 256 divisors, whose sum is σ = 170620369920. Its totient is φ = 14196000000.

The previous prime is 53957720981. The next prime is 53957721011. The reversal of 53957721000 is 12775935.

It is a super-2 number, since 2×53957721000² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 53957721000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98642727 + ... + 98643273.

It is an arithmetic number, because the mean of its divisors is an integer number (666485820).

Almost surely, 2^53957721000 is an apocalyptic number.

53957721000 is a gapful number since it is divisible by the number (50) 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 53957721000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85310184960).

53957721000 is an abundant number, since it is smaller than the sum of its proper divisors (116662648920).

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

53957721000 is a wasteful number, since it uses less digits than its factorization.

53957721000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 39.

The spelling of 53957721000 in words is "fifty-three billion, nine hundred fifty-seven million, seven hundred twenty-one thousand".