1948955977560 has 128 divisors (see below), whose sum is σ = 6077240628480. Its totient is φ = 499582499328.

The previous prime is 1948955977511. The next prime is 1948955977571. The reversal of 1948955977560 is 657795598491.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2275782 + ... + 3012821.

It is an arithmetic number, because the mean of its divisors is an integer number (47478442410).

Almost surely, 2^{1948955977560} is an apocalyptic number.

1948955977560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1948955977560 is an abundant number, since it is smaller than the sum of its proper divisors (4128284650920).

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

1948955977560 is a wasteful number, since it uses less digits than its factorization.

1948955977560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5288737 (or 5288733 counting only the distinct ones).

The product of its (nonzero) digits is 857304000, while the sum is 75.

The spelling of 1948955977560 in words is "one trillion, nine hundred forty-eight billion, nine hundred fifty-five million, nine hundred seventy-seven thousand, five hundred sixty".