125773035264000 has 1152 divisors, whose sum is σ = 469887628392000. Its totient is φ = 32319995904000.

The previous prime is 125773035263977. The next prime is 125773035264011. The reversal of 125773035264000 is 462530377521.

125773035264000 is a `hidden beast` number, since 1 + 2 + 57 + 7 + 30 + 3 + 526 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41359102480 + ... + 41359105520.

Almost surely, 2^{125773035264000} is an apocalyptic number.

125773035264000 is a gapful number since it is divisible by the number (10) 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 125773035264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234943814196000).

125773035264000 is an abundant number, since it is smaller than the sum of its proper divisors (344114593128000).

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

125773035264000 is a wasteful number, since it uses less digits than its factorization.

125773035264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3732 (or 3699 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 125773035264000 in words is "one hundred twenty-five trillion, seven hundred seventy-three billion, thirty-five million, two hundred sixty-four thousand".