2756978005500 has 576 divisors, whose sum is σ = 9246499411968. Its totient is φ = 716810860800.

The previous prime is 2756978005499. The next prime is 2756978005541. The reversal of 2756978005500 is 55008796572.

2756978005500 is a `hidden beast` number, since 2 + 7 + 5 + 6 + 9 + 7 + 80 + 0 + 550 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1810227739 + ... + 1810229261.

It is an arithmetic number, because the mean of its divisors is an integer number (16052950368).

Almost surely, 2^{2756978005500} is an apocalyptic number.

2756978005500 is a gapful number since it is divisible by the number (20) 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 2756978005500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4623249705984).

2756978005500 is an abundant number, since it is smaller than the sum of its proper divisors (6489521406468).

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

2756978005500 is a wasteful number, since it uses less digits than its factorization.

2756978005500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The spelling of 2756978005500 in words is "two trillion, seven hundred fifty-six billion, nine hundred seventy-eight million, five thousand, five hundred".